On 0-homology of categorical at zero semigroups

• Autorzy: Boris Novikov , Lyudmyla Polyakova
• Języki publikacji: EN

Abstrakty

EN

The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.

Słowa kluczowe

EN

Homology of semigroups; 0-homology of semigroups; Categorical at zero semigroup

Kategorie tematyczne

• 20M50: Connections of semigroups with homological algebra and category theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 2
• Strony: 165-175

Daty

wydano

2009-06-01

online

2009-05-24

Twórcy

autor

Boris Novikov

• Department of Mechanics and Mathematics, Kharkov V.N. Karazin National University, Kharkov, Ukraine

autor

Lyudmyla Polyakova

• Department of Mechanics and Mathematics, Kharkov V.N. Karazin National University, Kharkov, Ukraine

Bibliografia

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• [9] Novikov B.V., 0-cohomology of semigroups, In: Theoretical and applied questions of differential equations and algebra, Naukova Dumka, Kiev, 1978, 185–188 (in Russian)
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• [11] Novikov B.V., Semigroup cohomology and applications, Algebra - representation theory (Constanta, 2000), 219–234, NATO Sci. Ser. II Math. Phys. Chem., 28, Kluwer Acad. Publ., Dordrecht, 2001
• [12] Polyakova L.Yu., On 0-homology of semigroups, preprint
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Identyfikatory

DOI

10.2478/s11533-009-0001-z