Handbook of Algebra 〈3〉

Handbook of Algebra 〈3〉

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  • 製本 Hardcover:ハードカバー版/ページ数 1,036 p.
  • 言語 ENG
  • 商品コード 9780444512642
  • DDC分類 519

基本説明

Contents: Linear algebra over commutative rings; Monads of sets; Model theory for algebra; Monomial algebras and polyhedral geometry; Whitehead modules; and more.

Table of Contents

Preface                                            v
Outline of the Series ix
List of Contributors xxi
Section IA. Linear Algebra 1 (64)
J.A. Hermida-Alonso, On linear algebra over 3 (60)
commutative rings
L. Rodman, Correction and addition 63 (2)
Section 2A. Category Theory 65 (90)
E. Manes, Monads of sets 67 (88)
Section 2C. Algebraic K-theory 155 (42)
A. Kuku, Classical algebraic K-theory: the 157 (40)
functors K0, K1, K2
Section 2D. Model Theoretic Algebra 197 (58)
M. Prest, Model theory for algebra 199 (28)
M. Prest, Model theory and modules 227 (28)
Section 3A. Commutative Rings and Algebras 255 (60)
R.H. Villarreal, Monomial algebras and 257 (58)
polyhedral geometry
Section 3B. Associative Rings and Algebras 315 (270)
P.C. Eklof, Whitehead modules 317 (26)
E.E. Enochs, Flat covers 343 (14)
A. Facchini, The Krull-Schmidt theorem 357 (42)
C. Faith, Coherent rings and annihilator 399 (30)
conditions in matrix and polynomial rings
T.Y. Lam, Hamilton's quaternions 429 (26)
S.K. Sehgal, Group rings 455 (88)
A. Tuganbaev, Semiregular, weakly regular, 543 (22)
and r-regular rings
A. Tuganbaev, Max rings and V -rings 565 (20)
Section 3C. Coalgebras 585 (204)
W. Michaelis, Coassociative coalgebras 587 (202)
Section 4A. Lattices and Partially Ordered Sets 789 (70)
A. Pultr, Frames 791 (68)
Section 4D. Varieties of Algebras, Groups, ... 859 (26)
V.A. Artamonov, Quasivarieties 861 (24)
Section 4E. Lie Algebras 885 (20)
C. Reutenauer, Free Lie algebras 887 (18)
Section 4H. Rings and Algebras with Additional 905 (82)
Structure
A.I. Molev, Yangians and their applications 907 (54)
F. Patras, Lambda-rings 961 (26)
Section 5A. Groups and Semigroups 987 (126)
L. Bartholdi, R.I. Grigorchuk and Z. Sunik, 989 (124)
Branch groups
Subject Index 1113