Download or read book Structure of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1964 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this volume is to give an account of the important developments in the theory of (non-commutative) rings. These are: the structure theory of rings without finiteness assumptions, cohomology of algebras, and structure and representation theory of non-semi-simple rings (Frobenius algebras, quasi-Frobenius rings).
Download or read book The Algebraic Structure of Group Rings written by Donald S. Passman and published by Courier Corporation. This book was released on 2011-01-01 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--
Download or read book The Theory of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
Download or read book Cyclic Modules and the Structure of Rings written by S.K. Jain and published by Oxford University Press. This book was released on 2012-09-27 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph brings together important material in the field of noncommutative rings and modules. It provides an up-to-date account of the topic of cyclic modules and the structure of rings which will be of particular interest to those working in abstract algebra and to graduate students who are exploring potential research topics.
Download or read book Finite Commutative Rings and Their Applications written by Gilberto Bini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background.
Download or read book Saturn from Cassini Huygens written by Michele Dougherty and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of two volumes meant to capture, to the extent practical, the scienti?c legacy of the Cassini-Huygens prime mission, a landmark in the history of planetary exploration. As the most ambitious and interdisciplinary planetary exploration mission ?own to date, it has extended our knowledge of the Saturn system to levels of detail at least an order of magnitude beyond that gained from all previous missions to Saturn. Nestled in the brilliant light of the new and deep understanding of the Saturn planetary system is the shiny nugget that is the spectacularly successful collaboration of individuals, - ganizations and governments in the achievement of Cassini-Huygens. In some ways the pa- nershipsformedandlessonslearnedmaybethemost enduringlegacyofCassini-Huygens.The broad, international coalition that is Cassini-Huygens is now conducting the Cassini Equinox Mission and planning the Cassini Solstice Mission, and in a major expansion of those fruitful efforts, has extended the collaboration to the study of new ?agship missions to both Jupiter and Saturn. Such ventures have and will continue to enrich us all, and evoke a very optimistic vision of the future of international collaboration in planetary exploration. The two volumes in the series Saturn from Cassini-Huygens and Titan from Cassini- Huygens are the direct products of the efforts of over 200 authors and co-authors. Though each book has a different set of three editors, the group of six editors for the two volumes has worked together through every step of the process to ensure that these two volumes are a set.
Download or read book Lectures on Rings and Modules written by Joachim Lambek and published by . This book was released on 1966 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rings and Categories of Modules written by Frank W. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.
Download or read book The Cambridge Guide to Homer written by Corinne Ondine Pache and published by Cambridge University Press. This book was released on 2020-03-05 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its ancient incarnation as a song to recent translations in modern languages, Homeric epic remains an abiding source of inspiration for both scholars and artists that transcends temporal and linguistic boundaries. The Cambridge Guide to Homer examines the influence and meaning of Homeric poetry from its earliest form as ancient Greek song to its current status in world literature, presenting the information in a synthetic manner that allows the reader to gain an understanding of the different strands of Homeric studies. The volume is structured around three main themes: Homeric Song and Text; the Homeric World, and Homer in the World. Each section starts with a series of 'macropedia' essays arranged thematically that are accompanied by shorter complementary 'micropedia' articles. The Cambridge Guide to Homer thus traces the many routes taken by Homeric epic in the ancient world and its continuing relevance in different periods and cultures.
Download or read book Planetary Ring Systems written by Matthew S. Tiscareno and published by Cambridge University Press. This book was released on 2018-03-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Planetary rings are among the most intriguing structures of our solar system and have fascinated generations of astronomers. Collating emerging knowledge in the field, this volume reviews our current understanding of ring systems with reference to the rings of Saturn, Uranus, Neptune, and more. Written by leading experts, the history of ring research and the basics of ring–particle orbits is followed by a review of the known planetary ring systems. All aspects of ring system science are described in detail, including specific dynamical processes, types of structures, thermal properties and their origins, and investigations using computer simulations and laboratory experiments. The concluding chapters discuss the prospects of future missions to planetary rings, the ways in which ring science informs and is informed by the study of other astrophysical disks, and a perspective on the field's future. Researchers of all levels will benefit from this thorough and engaging presentation.
Download or read book Three Rings written by Daniel Mendelsohn and published by New York Review of Books. This book was released on 2022-04-26 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: A memoir, biography, work of history, and literary criticism all in one, this moving book tells the story of three exiled writers—Erich Auerbach, François Fénelon, and W. G. Sebald—and their relationship with the classics, from Homer to Mimesis. In a genre-defying book hailed as “exquisite” (The New York Times) and “spectacular” (The Times Literary Supplement), the best-selling memoirist and critic Daniel Mendelsohn explores the mysterious links between the randomness of the lives we lead and the artfulness of the stories we tell. Combining memoir, biography, history, and literary criticism, Three Rings weaves together the stories of three exiled writers who turned to the classics of the past to create masterpieces of their own—works that pondered the nature of narrative itself: Erich Auerbach, the Jewish philologist who fled Hitler’s Germany and wrote his classic study of Western literature, Mimesis, in Istanbul; François Fénelon, the seventeenth-century French archbishop whose ingenious sequel to the Odyssey, The Adventures of Telemachus—a veiled critique of the Sun King and the best-selling book in Europe for a hundred years—resulted in his banishment; and the German novelist W.G. Sebald, self-exiled to England, whose distinctively meandering narratives explore Odyssean themes of displacement, nostalgia, and separation from home. Intertwined with these tales of exile and artistic crisis is an account of Mendelsohn’s struggle to write two of his own books—a family saga of the Holocaust and a memoir about reading the Odyssey with his elderly father—that are haunted by tales of oppression and wandering. As Three Rings moves to its startling conclusion, a climactic revelation about the way in which the lives of its three heroes were linked across borders, languages, and centuries forces the reader to reconsider the relationship between narrative and history, art and life.
Download or read book Rings and Their Modules written by Paul E. Bland and published by Walter de Gruyter. This book was released on 2011 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj
Download or read book The Best Writing on Mathematics 2012 written by Mircea Pitici and published by Princeton University Press. This book was released on 2013 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.
Download or read book Algebras Rings and Modules written by Michiel Hazewinkel and published by CRC Press. This book was released on 2016-04-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu
Download or read book Nomenclature of Organic Chemistry written by and published by Royal Society of Chemistry. This book was released on 2014 with total page 1614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailing the latest rules and international practice, this new volume can be considered a guide to the essential organic chemical nomenclature, commonly described as the "Blue Book."
Download or read book A First Course in Noncommutative Rings written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.
Download or read book Radical Theory of Rings written by J.W. Gardner and published by CRC Press. This book was released on 2003-11-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.
