Abelian and Hamiltonian groupoids.

DOI10.1007/s10958-010-0068-xzbMath1219.20043arXiv1804.09346OpenAlexW2082612405MaRDI QIDQ548770

Alena Andreevna Stepanova, Nataliya Vyacheslavovna Trikashnaya

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York), Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09346

zbMATH Keywords

semigroupidempotentvarietyquasigrouprectangular bandabelian algebraHamiltonian algebraspolynomial operationsAbelian algebrasAbelian finite quasigroupsAbelian groupoidsAbelian semigroupsblocks of congruencesHamiltonian groupoidsgroupoid with unityHamiltonian algebra

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Loops, quasigroups (20N05) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40) Varieties (08B99) Sets with a single binary operation (groupoids) (20N02)

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Subsystems and Automorphisms of Some Finite Magmas of Order k + k2 ⋮ Abelian and Hamiltonian groupoids. ⋮ АЛГЕБРЫ РИСА И КОНГРУЭНЦ-АЛГЕБРЫ РИСА В ОДНОМ КЛАССЕ АЛГЕБР С ОПЕРАТОРОМ И ОСНОВНОЙ ОПЕРАЦИЕЙ ПОЧТИ ЕДИНОГЛАСИЯ

Cites Work

• Abelian and Hamiltonian groupoids.
• Semigroups obeying the term condition
• TC semigroups and inflations
• Abelian algebras and the Hamiltonian property
• Strongly Abelian Varieties and the Hamiltonian Property
• The structure of finite algebras
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