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DC Field | Value | Language |
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dc.contributor.author | Zhuchok, A. V. | - |
dc.contributor.author | Demko, M. | - |
dc.date.accessioned | 2022-03-07T19:31:48Z | - |
dc.date.available | 2022-03-07T19:31:48Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/9026 | - |
dc.description | Zhuchok A. V. Free n-dinilpotent doppelsemigroups / A. V. Zhuchok, M. Demko // Algebra and Discrete Mathematics. - 2016. - Vol. 22, Number 2. - Рр. 304–316. | uk_UA |
dc.description.abstract | A doppelalgebra is an algebra defined on a vector space with two binary linear associative operations. Doppelalgebras play a prominent role in algebraic K-theory. In this paper we consider doppelsemigroups, that is, sets with two binary associative operations satisfying the axioms of a doppelalgebra. We construct a free n-dinilpotent doppelsemigroup and study separately free n-dinilpotent doppelsemigroups of rank 1. Moreover, we characterize the least n-dinilpotent congruence on a free doppelsemigroup, establish that the semigroups of the free n-dinilpotent doppelsemigroup are isomorphic and the automorphism group of the free n-dinilpotent doppelsemigroup is isomorphic to the symmetric group. We also give different examples of doppelsemigroups and prove that a system of axioms of a doppelsemigroup is independent. | uk_UA |
dc.language.iso | en | uk_UA |
dc.title | Free n-dinilpotent doppelsemigroups | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Жучок Анатолій Володимирович |
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2016_Eng_24.pdf | 323.6 kB | Adobe PDF | View/Open |
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