Monoids, Acts and Categories
eBook - PDF

Monoids, Acts and Categories

  1. 546 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Monoids, Acts and Categories

Book details
Table of contents
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Yes, you can access Monoids, Acts and Categories by Mati Kilp, Ulrich Knauer, Alexander V. Mikhalev in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
ISBN
9783110812909
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Foreword
  2. Introduction
  3. I Elementary properties of monoids, acts and categories
  4. 1 Sets and relations
  5. 2 Groupoids, semigroups and monoids
  6. 3 Some classes of semigroups
  7. 4 Acts over monoids (monoid automata)
  8. 5 Decompositions and components
  9. 6 Categories
  10. 7 Functors
  11. II Constructions
  12. 1 Products and coproducts
  13. 2 Pullbacks and pushouts
  14. 3 Free objects and generators
  15. 4 Cofree objects and cogenerators
  16. 5 Tensor products
  17. 6 Wreath products of monoids and acts
  18. 7 The wreath product of a monoid with a small category
  19. III Classes of acts
  20. 1 Injective acts
  21. 2 Divisible acts
  22. 3 Principally weakly injective acts
  23. 4 fg-weakly injective acts
  24. 5 Weakly injective acts
  25. 6 Absolutely pure acts
  26. 7 Cogenerators and overview
  27. 8 Torsion free acts
  28. 9 Flatness of acts and related properties
  29. 10 Principally weakly flat acts
  30. 11 Weakly flat acts
  31. 12 Flat acts
  32. 13 Acts satisfying Condition (P)
  33. 14 Acts satisfying Condition (E)
  34. 15 Equalizer flat acts
  35. 16 Pullback flat acts and overview
  36. 17 Projective acts
  37. 18 Generators
  38. 19 Regular acts and overview
  39. IV Homological classification of monoids
  40. 1 Principal weak injectivity
  41. 2 On fg-weak injectivity
  42. 3 Weak injectivity
  43. 4 Absolute purity
  44. 5 Injectivity and overview
  45. 6 Torsion freeness and principal weak flatness
  46. 7 Weak flatness
  47. 8 Flatness
  48. 9 Condition (P)
  49. 10 Strong flatness
  50. 11 Projectivity
  51. 12 Projective generators
  52. 13 Freeness and overview
  53. 14 Regularity of acts
  54. V Equivalence and Duality
  55. 1 Adjoint functors
  56. 2 Categories equivalent to Act — S
  57. 3 Morita equivalence of monoids
  58. 4 Endomorphism monoids of generators
  59. 5 On Morita duality
  60. Bibliography
  61. Index of symbols
  62. Index