Free n-dinilpotent doppelsemigroups
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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155735 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Free n-dinilpotent doppelsemigroups / A.V. Zhuchok, M. Demko // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 304-316. — Бібліогр.: 23 назв. — англ. |
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Zhuchok, A.V. Demko, M. 2019-06-17T11:32:32Z 2019-06-17T11:32:32Z 2016 Free n-dinilpotent doppelsemigroups / A.V. Zhuchok, M. Demko // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 304-316. — Бібліогр.: 23 назв. — англ. 1726-3255 2010 MSC:08B20, 20M10, 20M50, 17A30. https://nasplib.isofts.kiev.ua/handle/123456789/155735 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 freen-dinilpotent doppelsemigroup and study separately freen-dinilpotentdoppelsemigroups of rank 1. Moreover,we characterize the least n-dinilpotent congruence on a free doppelsemigroup, establish that the semigroups of the freen-dinilpotentdoppelsemigroup are isomorphic and the automorphism group of the freen-dinilpotent doppelsemigroup is isomorphic to the symmetric group. We also give different examples of doppelsemigroups andprove that a system of axioms of a doppelsemigroup is independent. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free n-dinilpotent doppelsemigroups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Free n-dinilpotent doppelsemigroups |
| spellingShingle |
Free n-dinilpotent doppelsemigroups Zhuchok, A.V. Demko, M. |
| title_short |
Free n-dinilpotent doppelsemigroups |
| title_full |
Free n-dinilpotent doppelsemigroups |
| title_fullStr |
Free n-dinilpotent doppelsemigroups |
| title_full_unstemmed |
Free n-dinilpotent doppelsemigroups |
| title_sort |
free n-dinilpotent doppelsemigroups |
| author |
Zhuchok, A.V. Demko, M. |
| author_facet |
Zhuchok, A.V. Demko, M. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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 freen-dinilpotent doppelsemigroup and study separately freen-dinilpotentdoppelsemigroups of rank 1. Moreover,we characterize the least n-dinilpotent congruence on a free doppelsemigroup, establish that the semigroups of the freen-dinilpotentdoppelsemigroup are isomorphic and the automorphism group of the freen-dinilpotent doppelsemigroup is isomorphic to the symmetric group. We also give different examples of doppelsemigroups andprove that a system of axioms of a doppelsemigroup is independent.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155735 |
| citation_txt |
Free n-dinilpotent doppelsemigroups / A.V. Zhuchok, M. Demko // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 304-316. — Бібліогр.: 23 назв. — англ. |
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AT zhuchokav freendinilpotentdoppelsemigroups AT demkom freendinilpotentdoppelsemigroups |
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2025-12-07T18:23:00Z |
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2025-12-07T18:23:00Z |
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1850874821697601536 |