Browsing Статті by Author "Zhuchok, A. 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 = ...
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)

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