Trioids

DOI10.1142/S1793557115500898zbMath1331.08002MaRDI QIDQ3462023

Anatolii Zhuchok

Publication date: 4 January 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

semigroupscongruencesdimonoidsfree trioidssemiretractionstrioidsorthogonal sums of trioidsRees trioidstribands of subtrioidstrioids with deformed multiplications

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Semilattices (06A12) Finitary algebras (08A62) Free nonassociative algebras (17A50)

Related Items (19)

Certain congruences on free g-dimonoids ⋮ Constructions of free dibands and tribands ⋮ Independence of axioms of an associative trioid ⋮ Unnamed Item ⋮ Free \(n\)-tuple semigroups ⋮ Unnamed Item ⋮ Structure of relatively free 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 \(n\)-tuple semigroups ⋮ Unnamed Item ⋮ The least left \(n\)-trinilpotent congruence on the free trioid ⋮ Certain congruences on free trioids ⋮ New models for the free commutative monogenic trioid and its endomorphism monoid ⋮ Unnamed Item

Cites Work

• Équivalences principales bilateres definies dans un demi-groupe
• Some congruences on trioids
• Trialgebras and Leibniz 3-algebras
• SEMILATTICES OF SUBDIMONOIDS
• The l 1 -Algebra of a Commutative Semigroup
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup
• Congruences on orthodox semigroups II
• On decompositions of a commutative semigroup
• On the greatest semilattice decomposition of a semigroup
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