Dimonoids

DOI10.1007/s10469-011-9144-7zbMath1259.08003OpenAlexW4255110905MaRDI QIDQ695783

Anatolii Zhuchok

Publication date: 17 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-011-9144-7

zbMATH Keywords

dimonoidCayley's theoremcommutative separative semigroupdimonoid with commutative operationfree commutative dimonoidleast separative congruencequotient dimonoidsemilattice of subdimonoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05)

Related Items (14)

Free products of doppelsemigroups ⋮ On the structure of dimonoids ⋮ Free left \(n\)-dinilpotent dimonoids ⋮ Certain congruences on free g-dimonoids ⋮ Independence of axioms of an associative trioid ⋮ Unnamed Item ⋮ Structure of relatively free dimonoids ⋮ Structure of free strong doppelsemigroups ⋮ Semiretractions of trioids. ⋮ Abelian and symmetric generalized digroups ⋮ Dimonoids and bar-units. ⋮ Unnamed Item ⋮ Cayley theorems for Loday algebras ⋮ Relatively free dimonoids and bar-units

Cites Work

• Dibands of subdimonoids
• A noncommutative version of Lie algebras: Leibniz algebras
• Koszul duality for operads
• The l 1 -Algebra of a Commutative Semigroup
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• Contribution to the theory of torsion semigroups
• On decompositions of a commutative semigroup
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