The least dimonoid congruences on relatively free trioids

DOI10.30970/ms.57.1.23-31OpenAlexW4221005336MaRDI QIDQ2133653

Anatolii Zhuchok

Publication date: 4 May 2022

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.57.1.23-31

zbMATH Keywords

semigroupcongruencedimonoidtrioidfree abelian trioidfree left \(n\)-trinilpotent trioid

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

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• 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
• The least dimonoid congruences on free \(n\)-nilpotent trioids
• Jordan trialgebras and post-Jordan algebras
• On the definitions of nucleus for dialgebras
• Trialgebras and Leibniz 3-algebras
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• Free leftn-dinilpotent doppelsemigroups
• On special identities for dialgebras
• Relatively free dimonoids and bar-units
• Free left n-trinilpotent trioids
• Certain congruences on free trioids
• Dialgebras and related operads

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