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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-101470442957
ISBN-139781470442958
eBay Product ID (ePID)242817879
Product Key Features
Number of Pages368 Pages
Publication NameAlgebras, Lattices, Varieties, Volume I
LanguageEnglish
Publication Year2018
SubjectAlgebra / General, Topology
TypeTextbook
AuthorGeorge F. Mcnulty, Walter F. Taylor, Ralph N. Mckenzie
Subject AreaMathematics
SeriesAms Chelsea Publishing Ser.
FormatHardcover
Dimensions
Item Height0.8 in
Item Weight29.5 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2017-046893
Series Volume Number383
IllustratedYes
Table Of ContentBasic concepts Lattices Unary and binary operations Fundamental algebraic results Unique factorization Bibliography Additional bibliography List of errata Table of notation Index of names Index of terms
SynopsisThis 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., 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 filled with useful illustrations and exercises that solidify the reader's understanding.
LC Classification NumberQA251.M43 2018
