Browsing by Author "Zhuchok, Y. V."

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Certain congruences on free trioids

Zhuchok, A. V.; Zhuchok, Y. V.; Zhuchok, Y. V. (2019)

Loday and Ronco introduced the notion of a trioid and constructed the free trioid of rank 1. This paper is devoted to the study of congruences on trioids. We characterize the least dimonoid congruences and the least semigroup ...
FREE COMMUTATIVE g-DIMONOIDS

Zhuchok, A. V.; Zhuchok, Y. V. (2015)

A dialgebra is a vector space equipped with two binary operations ⊣ and ⊢ satisfying the following axioms: (D1) (x ⊣ y) ⊣ z = x ⊣ (y ⊣ z), (D2) (x ⊣ y) ⊣ z = x ⊣ (y ⊢ z), (D3) (x ⊢ y) ⊣ z = x ⊢ (y ⊣ z), (D4) (x ⊣ y) ⊢ z = ...
Free rectangular tribands

Zhuchok, Y. V. (2015)

We introduce the notion of a rectangular triband, construct a free rectangular triband and describe its structure.
On free k-nilpotent n-tuple semigroups

Zhuchok, A. V.; Zhuchok, Y. V. (2018)
On free left n-dinilpotent dimonoids

Zhuchok, A. V.; Zhuchok, Y. V. (2015)
On free n-nilpotent trioids

Zhuchok, Y. V. (2015)
On free rectangular tribands

Zhuchok, Y. V. (2015)
On one class of algebras

Zhuchok, Y. V. (2014)
On one class of algebras

Zhuchok, Y. V. (2014)

In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous ...
ON THE LEAST SEMIGROUP CONGRUENCES ON DIMONOIDS

Zhuchok, Y. V. (2014)

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