Monoids, Acts and Categories

With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers

AvMati Kilp,Ulrich Knauer

Inbunden, Engelska, 2000

Del 29 i serien De Gruyter Expositions in Mathematics

3 187 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

No detailed description available for "Monoids, Acts and Categories".

Produktinformation

Utgivningsdatum:2000-03-22
Mått:170 x 240 x 34 mm
Vikt:1 028 g
Format:Inbunden
Språk:Engelska
Serie:De Gruyter Expositions in Mathematics
Antal sidor:546
Upplaga:1
Förlag:De Gruyter
ISBN:9783110152487

Utforska kategorier

Innehållsförteckning

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.

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Monoids, Acts and Categories

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AvMati Kilp,Ulrich Knauer

Inbunden, Engelska, 2000

Del 29 i serien De Gruyter Expositions in Mathematics

3 187 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

No detailed description available for "Monoids, Acts and Categories".

Produktinformation

Utgivningsdatum:2000-03-22
Mått:170 x 240 x 34 mm
Vikt:1 028 g
Format:Inbunden
Språk:Engelska
Serie:De Gruyter Expositions in Mathematics
Antal sidor:546
Upplaga:1
Förlag:De Gruyter
ISBN:9783110152487

Utforska kategorier

Innehållsförteckning

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.