The least dimonoid congruences on free \(n\)-nilpotent trioids

DOI10.1134/S199508022009036XzbMath1486.08005OpenAlexW3100647949MaRDI QIDQ2211384

Anatolii Zhuchok

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022009036x

zbMATH Keywords

semigroupcongruencedimonoidtrioidfree \(n\)-nilpotent trioid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Subalgebras, congruence relations (08A30) Free algebras (08B20) Nonassociative algebras satisfying other identities (17A30)

Related Items

The least dimonoid congruences on relatively free trioids ⋮ Structure of relatively free trioids

Cites Work

• Free left \(n\)-dinilpotent dimonoids
• Free commutative trioids
• Free \(n\)-nilpotent trioids.
• Loday-type algebras and the Rota-Baxter relation
• Embedding of dendriform algebras into Rota-Baxter algebras
• Free products of doppelsemigroups
• Jordan trialgebras and post-Jordan algebras
• Trialgebras and Leibniz 3-algebras
• Structure of relatively free dimonoids
• SEMILATTICES OF SUBDIMONOIDS
• Trioids
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• Free leftn-dinilpotent doppelsemigroups
• On special identities for dialgebras
• Certain congruences on free trioids
• Dimonoids and bar-units.
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