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Monoids, acts and categories with applications to wreath products and graphs : a handbook for students and researchers
by Mati Kilp, Ulrich Knauer, Alexander V. Mikhalev
[目次]
- Elementary properties of monoids, acts and categories: sets and relations
- groupoids, semigroups and monoids
- some classes of semigroups
- acts over monoids (monoid automata)
- decompositions and components
- categories
- functors. Constructions: products and coproducts
- pullbacks and pushouts
- free objects and generators
- cofree objects and generators
- tensor products
- wreath products of monoids and acts
- the wreath product of a monoid with a small category. Classes of acts: injective acts
- divisible acts
- principally weakly injective acts
- fg-weakly injective acts
- absolutely pure acts
- cogenerators and overview
- torsion free acts
- flatness of acts and related properties
- principally weakly flat acts
- weakly flat acts
- flat acts
- acts satisfying condition (P)
- acts satisfying condition (E)
- equalizer flat acts
- pullback flat acts and overview
- projective acts
- generators
- regular acts and overview. Homological classification of monoids: principal weak injectivity
- on fg-weak injectivity
- weak injectivity
- absolute purity
- injectivity and overview
- torsion freeness and principal weak flatness
- flatness
- condition (P)
- strong flatness
- projectivity
- projective generators
- freeness and overview
- regularity of acts. Equivalence and duality: adjoint functors
- categories equivalent to act - S Morita equivalence of monoids
- endomorphism monoids of generators
- on morita duality.
「Nielsen BookData」より
|
書名 |
Monoids, acts and categories with applications to wreath products and graphs : a handbook for students and researchers |
著作者等 |
Kilʹp, M.
Knauer, U.
Mikhalev, A. V.
Knauer Ulrich
Mikhalev A. V.
Kilp Mati
|
シリーズ名 |
De Gruyter expositions in mathematics
|
出版元 |
Walter de Gruyter |
刊行年月 |
2000 |
ページ数 |
xvii, 529 p |
大きさ |
25 cm |
ISBN |
3110152487
|
NCID |
BA46217376
※クリックでCiNii Booksを表示
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言語 |
英語 |
出版国 |
ドイツ |
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