Author: Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 712
Book Description
Contributions to General Algebra
Author: Hermann KautschitschPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 436
Book Description
Contributions to General Algebra
Author: Contributions to General Algebra 14
Author: Ivan ChajdaContributions to General Algebra 12
Author: Dietmar DorningerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 452
Book Description
Contributions to General Algebra 5
Author: Johannes CzermakPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 424
Book Description
Contributions to General Algebra 6
Author: Dietmar DorningerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 328
Book Description
Contributions to General Algebra 16
Author: Ivan ChajdaContributions to General Algebra 9
Author: Günter PilzAlgebras, Lattices, Varieties
Author: Ralph N. McKenziePublisher: American Mathematical Society
ISBN: 1470442957
Category : Mathematics
Languages : en
Pages : 386
Book Description
This book presents the foundations of a general theory of algebras. Often called “universal algebra”, this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is replete with useful illustrations and exercises that solidify the reader's understanding. The book begins by developing the main concepts and working tools of algebras and lattices, and continues with examples of classical algebraic systems like groups, semigroups, monoids, and categories. The essence of the book lies in Chapter 4, which provides not only basic concepts and results of general algebra, but also the perspectives and intuitions shared by practitioners of the field. The book finishes with a study of possible uniqueness of factorizations of an algebra into a direct product of directly indecomposable algebras. There is enough material in this text for a two semester course sequence, but a one semester course could also focus primarily on Chapter 4, with additional topics selected from throughout the text.
An Invitation to General Algebra and Universal Constructions
Author: George M. BergmanPublisher: Springer
ISBN: 3319114786
Category : Mathematics
Languages : en
Pages : 574
Book Description
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.