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Browsing Жучок Анатолій Володимирович by Issue Date

Browsing Жучок Анатолій Володимирович by Issue Date

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  • Free n-nilpotent dimonoids 
    Zhuchok, A. V. (2013)
    We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent ...
  • Free (ℓr, rr)-dibands 
    Zhuchok, A. V. (2013)
  • Free products of dimonoids 
    Zhuchok, A. V. (2013)
    We construct a free product of dimonoids which generalizes a free dimonoid presented by J.-L. Loday and describe its structure.
  • Semilattice decompositions of trioids 
    Zhuchok, A. V (2013)
    We describe all semilattice congruences on an arbitrary trioid and define the least semilattice congruence on this trioid. We also show that every trioid is a semilattice of s-simple subtrioids
  • Free n-dinilpotent doppelsemigroups 
    Zhuchok, A. V.; Demko, M. (2016)
    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 ...

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