Free n-dinilpotent doppelsemigroups

Zhuchok, A. V.; Demko, M.

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