Cogroups and Co-Rings in Categories of Associative Rings

Cogroups and Co-Rings in Categories of Associative Rings

by George M. Bergman, Adam O. Hausknecht
     
 

This book studies representable functors among well-known varieties of algebras. All such functors from associative rings over a fixed ring $R$ to each of the categories of abelian groups, associative rings, Lie rings, and to several others are determined. Results are also obtained on representable functors on varieties of groups, semigroups, commutative rings, and

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Overview

This book studies representable functors among well-known varieties of algebras. All such functors from associative rings over a fixed ring $R$ to each of the categories of abelian groups, associative rings, Lie rings, and to several others are determined. Results are also obtained on representable functors on varieties of groups, semigroups, commutative rings, and Lie algebras. The book includes a ''Symbol index'', which serves as a glossary of symbols used and a list of the pages where the topics so symbolized are treated, and a ''Word and phrase index''. The authors have strived—and succeeded—in creating a volume that is very user-friendly.

Product Details

ISBN-13:
9780821804957
Publisher:
American Mathematical Society
Publication date:
05/02/1996
Series:
Mathematical Surveys and Monographs Series, #45
Pages:
388
Product dimensions:
7.28(w) x 10.16(h) x 0.98(d)

Table of Contents

Ch. IIntroduction
Ch. IIReview of coalgebras and representable functors
Ch. IIIRepresentable functors from rings to abelian groups
Ch. IVDigressions on semigroups, etc.
Ch. VRepresentable functors from algebras over a field to rings
Ch. VIRepresentable functors from k-rings to rings
Ch. VIIRepresentable functors from rings to general groups and semigroups
Ch. VIIIRepresentable functors on categories of commutative associative algebras
Ch. IXRepresentable functors on categories of Lie algebras
Ch. XMultilinear algebra of representable functors on k-Ring[superscript 1]
Ch. XIDirections for further investigation
References
World and phrase index
Symbol index

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