幺半群作用和范畴(英文版)

M.吉尔普、U.诺尔著的《幺半群作用和范畴(英文 版)》的第一部分为学习幺半群、作用、变形、一致和 非交换类别的学生提供了一个相对独立和宽泛的角度 。同时这本书也给出了半群理论，自动机，标准语言 和其他半群的应用的背景。幺半群圈积，作用和范畴 在第二部分有详细的介绍。该书的第二部分主要集中 在幺半群的同调分类结果，其中包括Morita类型理论 在等值性和二象性和幺半群的同调特性。

Foreword Introduction Ⅰ Elementary properties of monoids, acts and categories 1 Sets and relations 2 Groupoids, semigroups and monoids 3 Some classes of semigroups 4 Acts over monoids (monoid automata) 5 Decompositions and components 6 Categories 7 Functors Ⅱ Constructions 1 Products and coproducts 2 Pullbacks and pushouts 3 Free objects and generators 4 Cofree objects and cogenerators 5 Tensor products 6 Wreath products of monoids and acts 7 The wreath product of a monoid with a small category Ⅲ Classes of acts 1 Injective acts 2 Divisible acts 3 Principally weakly injective acts 4 fg-weakly injective acts 5 Weakly injective acts 6 Absolutely pure acts 7 Cogenerators and overview 8 Torsion free acts 9 Flatness of acts and related properties 10 Principally weakly flat acts 11 Weakly flat acts 12 Flat acts 13 Acts satisfying Condition (P) 14 Acts satisfying Condition (E) 15 Equalizer fiat acts 16 Pullback fiat acts and overview 17 Projective acts 18 Generators 19 Regular acts and overview Ⅳ Homological classification of monoids 1 Principal weak injectivity 2 On fg-weak injectivity 3 Weak injectivity 4 Absolute purity 5 Injectivity and overview 6 Torsion freeness and principal weak flatness 7 Weak flatness 8 Flatness 9 Condition (P) 10 Strong flatness 11 Projectivity 12 Projective generators 13 Freeness and overview 14 Regularity of acts Ⅴ Equivalence and Duality 1 Adjoint functors 2 Categories equivalent to Act -- S 3 Morita equivalence of monoids 4 Endomorphism monoids of generators 5 On Morita duality Bibliography Index of symbols Index