Download or read book Sheaves of Algebras over Boolean Spaces written by Arthur Knoebel and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory. The author uses various tools to develop new applications of classical concepts. Detailed proofs are given for all major theorems, about half of which are completely new. Sheaves of Algebras over Boolean Spaces will take readers on a journey through sheaf theory, an important part of universal algebra. This excellent reference text is suitable for graduate students, researchers, and those who wish to learn about sheaves of algebras.
Download or read book Categories of Boolean Sheaves of Simple Algebras written by Yves Diers and published by Springer. This book was released on 2006-11-14 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Advances in the Representation Theory of Rings and C ast Algebras by Continuous Sections written by John R. Liukkonen and published by American Mathematical Soc.. This book was released on 1974 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.
Download or read book Studien zur Algebra und ihre Anwendungen written by and published by . This book was released on 1979 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Boolean Algebras written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Download or read book Decidability and Boolean Representations written by Stanley Burris and published by American Mathematical Soc.. This book was released on 1981 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part I we address the question: which varieties have a decidable first order theory? We confine our attention to varieties whose algebras have modular congruence lattices (i.e., modular varieties), and focus primarily on locally finite varieties, although near the end of the paper Zamjatin's description of all decidable varieties of groups and rings, and offer a new proof of it. In part II, we show that if a variety admits such sheaf representations using only finitely many stalks, all of which are finite, then the variety can be decomposed in the product of a discriminator variety and an abelian variety. We continue this investigation by looking at well-known specializations of the sheaf construction, namely Boolean powers and sub-Boolean powers, giving special emphasis to quasi-primal algebras A, such that the sub-Boolean powers of A form a variety (this extends the work of Arens and Kaplansky on finite fields).
Download or read book Boolean Algebras in Analysis written by D.A. Vladimirov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.
Download or read book Introduction to Boolean Algebras written by Steven Givant and published by Springer Science & Business Media. This book was released on 2008-12-02 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Download or read book Cardinal Functions on Boolean Algebras written by MONK and published by Birkhäuser. This book was released on 2013-12-14 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boolean Algebras Rings and Spaces written by Austin Arthur Howard and published by . This book was released on 1950 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1979 with total page 1346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nearly Projective Boolean Algebras written by Lutz Heindorf and published by Springer. This book was released on 2006-11-14 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces. An appendix demonstrates the application of advanced set-theoretic methods to the field. The intended readers are Boolean and universal algebraists. The book will also be useful for general topologists wanting to learn about kappa-metrizable spaces and related classes. The text is practically self-contained but assumes experience with the basic concepts and techniques of Boolean algebras.
Download or read book Tulane University Ring and Operator Theory Year 1970 1971 written by Karl H. Hofmann and published by Springer. This book was released on 2006-11-15 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1972 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Boolean Algebras written by James Donald Monk and published by . This book was released on 1989 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Course in Universal Algebra written by S. Burris and published by Springer. This book was released on 2011-10-21 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.
