Algebras, Lattices, Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Lattices, Varieties write by Ralph S. Freese. This book was released on 2022-10-28. Algebras, Lattices, Varieties available in PDF, EPUB and Kindle. This book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.
Algebras, Lattices, Varieties
Algebras, Lattices, Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Lattices, Varieties write by Ralph N. McKenzie. This book was released on 2018-07-09. Algebras, Lattices, Varieties available in PDF, EPUB and Kindle. 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.
Algebras, lattices, varieties
Algebras, lattices, varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, lattices, varieties write by Ralph N. MacKenzie. This book was released on 1987. Algebras, lattices, varieties available in PDF, EPUB and Kindle.
Varieties of Lattices
Varieties of Lattices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Varieties of Lattices write by Peter Jipsen. This book was released on 2006-11-15. Varieties of Lattices available in PDF, EPUB and Kindle. The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The first chapter covers preliminaries that make the material accessible to anyone who has had an introductory course in universal algebra. Each subsequent chapter begins with a short historical introduction which sites the original references and then presents the results with complete proofs (in nearly all cases). Numerous diagrams illustrate the beauty of lattice theory and aid in the visualization of many proofs. An extensive index and bibliography also make the monograph a useful reference work.
M-Solid Varieties of Algebras
M-Solid Varieties of Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook M-Solid Varieties of Algebras write by Jörg Koppitz. This book was released on 2006-02-10. M-Solid Varieties of Algebras available in PDF, EPUB and Kindle. A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.
