么半群、作用和範疇

Foreword
Introduction

Ⅰ Elementary properties of monoids，acts and categories
1 Sets and relations
2 Groupoids，semigroups and monoids
3 Some classes ofsemigroups
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 Tensorproducts
6 Wreath products of monoids and acts
7 The wreath product of a monoid with a small category

Ⅲ Classes of acts
1 Injectiveacts
2 Divisibleacts
3 Principally weakly injective acts
4 fg—weakly injective acts
5 Weaklyinjective 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 Weaklyfiat acts
12 Flat acts
13 Acts satisfying Condition（P）
14 Acts satisfying Condition（E）
15 Equalizer flat acts
16 Pullback flat 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 fiatness
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