Download or read book Finitely Generated Commutative Monoids written by J. C. Rosales and published by Nova Publishers. This book was released on 1999 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancellative monoids, and from a presentation of a monoid, decide whether this monoid is cancellative, reduced, separative, finite, torsion free, group, affine, full, normal, etc. Of most interest to people working with semigroup theory, but also in other areas of algebra. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Elements of Automata Theory written by Jacques Sakarovitch and published by Cambridge University Press. This book was released on 2009-10-01 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
Download or read book Numerical Semigroups written by Valentina Barucci and published by Springer Nature. This book was released on 2020-05-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.
Download or read book Elements of Automata Theory written by and published by Cambridge University Press. This book was released on with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Logarithmic Algebraic Geometry written by Arthur Ogus and published by Cambridge University Press. This book was released on 2018-11-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.
Download or read book Non Unique Factorizations written by Alfred Geroldinger and published by CRC Press. This book was released on 2006-01-13 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza
Download or read book Arithmetical Properties of Commutative Rings and Monoids written by Scott T. Chapman and published by CRC Press. This book was released on 2005-03-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the w
Download or read book Semilocal Categories and Modules with Semilocal Endomorphism Rings written by Alberto Facchini and published by Springer Nature. This book was released on 2019-10-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.
Download or read book Multiplicative Invariant Theory written by Martin Lorenz and published by Springer Science & Business Media. This book was released on 2005-03-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far.. Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori. Throughout the text, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2. The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.
Download or read book String Rewriting Systems written by Ronald V. Book and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is string-rewriting systems. It is generally accepted that string-rewriting was first introduced by Axel Thue in the early part of this century. In the 1960's and early 1970's, it received renewed attention due to interest in formal language theory. In the 1980's and 1990's, it has received more interest since it can be viewed as a special case of term rewriting, a subject that has become important in the study of automated deduction. Today, string-rewriting is studied by researchers in theoretical computer science and also by researchers interested in the foundations of artificial intelligence. A sketch of the way that the subject has developed is contained in Chapter 0, and the reader is advised to begin with that chapter. Both authors have been active in the field and have lectured on the subject in several universities. Lecture notes have been produced and dis tributed. This monograph is a result of revising and rewriting those notes. It represents an attempt by the authors to present the concepts that the authors consider to be most fundamental and to gather together the most useful results in such a way that they can be understood and used in studies relating to more general rewriting, to automated deduction, and to algo rithmic problems of algebraic structures. This monograph is written for independent study by researchers in the oretical computer science or in the foundations of artificial intelligence.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Semigroups written by J.C. Rosales and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.
Download or read book Mathematical Foundations of Computer Science 1986 written by Jozef Gruska and published by Springer Science & Business Media. This book was released on 1986-08-01 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Computation Theory written by Horst Reichel and published by Springer Science & Business Media. This book was released on 1995-08-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 10th International Conference on Fundamentals of Computation Theory, FCT '95, held in Dresden, Germany in August 1995. The volume contains five invited lectures and 32 revised papers carefully selected for presentation at FCT '95. A broad spectrum of theoretical computer science is covered; among topics addressed are algorithms and data structures, automata and formal languages, categories and types, computability and complexity, computational logics, computational geometry, systems specification, learning theory, parallelism and concurrency, rewriting and high-level replacement systems, and semantics.
Download or read book Representation Theory of Finite Monoids written by Benjamin Steinberg and published by Springer. This book was released on 2016-12-09 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modern flavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion.
Download or read book Handbook of Formal Languages written by Grzegorz Rozenberg and published by Springer Science & Business Media. This book was released on 1997 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This uniquely authoritative and comprehensive handbook is the first work to cover the vast field of formal languages, as well as their applications to the divergent areas of linguistics, dvelopmental biology, computer graphics, cryptology, molecular genetics, and programming languages. The work has been divided into three volumes.
Download or read book Combinatorial and Geometric Group Theory written by Oleg Bogopolski and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.
