Boolean Constructions In Universal Algebras PDF Download
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Author | : A.G. Pinus |
Publisher | : Springer Science & Business Media |
Total Pages | : 357 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401709386 |
Download Boolean Constructions in Universal Algebras Book in PDF, ePub and Kindle
During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics. This monograph is devoted to the fundamentals of the theory of Boolean constructions in universal algebra. Also considered are the problems of presenting different varieties of universal algebra with these constructions, and applications for investigating the spectra and skeletons of varieties of universal algebras. For researchers whose work involves universal algebra and logic.
Author | : R.S. Freese |
Publisher | : Springer |
Total Pages | : 314 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540409548 |
Download Universal Algebra and Lattice Theory Book in PDF, ePub and Kindle
Author | : Arthur Knoebel |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2011-12-15 |
Genre | : Mathematics |
ISBN | : 0817642188 |
Download Sheaves of Algebras over Boolean Spaces Book in PDF, ePub and Kindle
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.
Author | : Sergey Goncharov |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 1997-01-31 |
Genre | : Mathematics |
ISBN | : 9780306110610 |
Download Countable Boolean Algebras and Decidability Book in PDF, ePub and Kindle
This book describes the latest Russian research covering the structure and algorithmic properties of Boolean algebras from the algebraic and model-theoretic points of view. A significantly revised version of the author's Countable Boolean Algebras (Nauka, Novosibirsk, 1989), the text presents new results as well as a selection of open questions on Boolean algebras. Other current features include discussions of the Kottonen algebras in enrichments by ideals and automorphisms, and the properties of the automorphism groups.
Author | : George M. Bergman |
Publisher | : Springer |
Total Pages | : 574 |
Release | : 2015-02-05 |
Genre | : Mathematics |
ISBN | : 3319114786 |
Download An Invitation to General Algebra and Universal Constructions Book in PDF, ePub and Kindle
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Author | : Jacek Malinowski |
Publisher | : Springer Nature |
Total Pages | : 473 |
Release | : |
Genre | : |
ISBN | : 3031444906 |
Download Janusz Czelakowski on Logical Consequence Book in PDF, ePub and Kindle
Author | : Klaus Denecke |
Publisher | : World Scientific |
Total Pages | : 291 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9812837450 |
Download Universal Algebra and Coalgebra Book in PDF, ePub and Kindle
The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Author | : Janusz Czelakowski |
Publisher | : Springer |
Total Pages | : 454 |
Release | : 2018-03-20 |
Genre | : Philosophy |
ISBN | : 331974772X |
Download Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science Book in PDF, ePub and Kindle
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Author | : Stanley Burris |
Publisher | : American Mathematical Soc. |
Total Pages | : 117 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : 0821822462 |
Download Decidability and Boolean Representations Book in PDF, ePub and Kindle
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).
Author | : Aleksandr Georgievich Pinus |
Publisher | : |
Total Pages | : 222 |
Release | : 1994 |
Genre | : Algebra, Boolean |
ISBN | : |
Download Constructions of Boolean Algebras Book in PDF, ePub and Kindle