Structure of relatively free dimonoids

DOI10.1080/00927872.2016.1222404zbMath1371.08006OpenAlexW2529813863MaRDI QIDQ2984988

Anatolii Zhuchok

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1222404

zbMATH Keywords

dimonoidrelatively free dimonoid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Free algebras (08B20)

Related Items (19)

Certain congruences on free g-dimonoids ⋮ Constructions of free dibands and tribands ⋮ Unnamed Item ⋮ A construction of the free digroup ⋮ A normal form for HNN-extensions of dialgebras ⋮ Structure of relatively free n-tuple semigroups ⋮ Free k -nilpotent n -tuple semigroups ⋮ The least dimonoid congruences on free \(n\)-nilpotent trioids ⋮ Free rectangular doppelsemigroups ⋮ Free commutative trioids ⋮ Free left n-trinilpotent trioids ⋮ Structure of free strong doppelsemigroups ⋮ Structure of relatively free trioids ⋮ Free products of digroups ⋮ The least left \(n\)-trinilpotent congruence on the free trioid ⋮ Certain congruences on free trioids ⋮ Unnamed Item ⋮ Relatively free dimonoids and bar-units ⋮ A New Composition-Diamond Lemma for Dialgebras

Cites Work

• Unnamed Item
• Free left \(n\)-dinilpotent dimonoids
• Dimonoids
• Free dimonoids
• Sets with two associative operations
• Interassociates of monogenic semigroups.
• Interassociates of the free commutative semigroup on \(n\) generators.
• On two classes of digroups
• A short basis for the variety of digroups.
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• STRUCTURE OF RELATIVELY FREE BANDS
• On special identities for dialgebras
• Dimonoids and bar-units.

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