Dimonoids and bar-units.

DOI10.1134/S0037446615050055zbMath1336.08001OpenAlexW2304713449MaRDI QIDQ5963437

Anatolii Zhuchok

Publication date: 19 February 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446615050055

zbMATH Keywords

adjoining sets of bar-unitsfree commutative dimonoidsfree dimonoidsfree rectangular dimonoids

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Free algebras (08B20) Equational classes, universal algebra in model theory (03C05)

Related Items (13)

On the structure of dimonoids ⋮ Certain congruences on free g-dimonoids ⋮ Unnamed Item ⋮ On two classes of digroups ⋮ Free k -nilpotent n -tuple semigroups ⋮ The least dimonoid congruences on free \(n\)-nilpotent trioids ⋮ Structure of relatively free dimonoids ⋮ Free rectangular doppelsemigroups ⋮ Free commutative trioids ⋮ Structure of relatively free trioids ⋮ Free products of \(n\)-tuple semigroups ⋮ Certain congruences on free trioids ⋮ Relatively free dimonoids and bar-units

Cites Work

• Dimonoids
• Free dimonoids
• A short basis for the variety of digroups.
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
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