The least left \(n\)-trinilpotent congruence on the free trioid

DOI10.1007/s00012-021-00758-xzbMath1486.08004OpenAlexW4206541775MaRDI QIDQ2073366

Yana A. Kryklia, Anatolii Zhuchok

Publication date: 2 February 2022

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

Full work available at URL: https://doi.org/10.1007/s00012-021-00758-x

zbMATH Keywords

semigroupcongruencefree trioidtrioid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Connections of semigroups with homological algebra and category theory (20M50) Free algebras (08B20) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Cites Work

• Free left \(n\)-dinilpotent dimonoids
• The endomorphism monoid of a free trioid of rank 1
• Free commutative trioids
• Free \(n\)-nilpotent trioids.
• Loday-type algebras and the Rota-Baxter relation
• Free products of doppelsemigroups
• Jordan trialgebras and post-Jordan algebras
• On the structure of dimonoids
• Trialgebras and Leibniz 3-algebras
• Structure of relatively free dimonoids
• Trioids
• Free leftn-dinilpotent doppelsemigroups
• Certain congruences on free g-dimonoids
• Free left n-trinilpotent trioids
• Certain congruences on free trioids
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