On 3-semigroups and 3-groups polynomial-derived from integral domains

DOI10.1007/BF02575523zbMath0564.20049MaRDI QIDQ1057994

B. Gleichgewicht, Kazimierz Głazek

Publication date: 1985

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134767

zbMATH Keywords

integral domains3-groups3-semigroupsternary associative polynomials

Mathematics Subject Classification ID

Integral domains (13G05) Operations and polynomials in algebraic structures, primal algebras (08A40) (n)-ary systems ((nge 3)) (20N15) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items (4)

A theorem of Mumford and Ramanujam for universal algebras ⋮ Around the Hosszú-Gluskin theorem for \(n\)-ary groups. ⋮ Associative formal power series in two indeterminates ⋮ A description of \(n\)-ary semigroups polynomial-derived from integral domains.

Cites Work

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• Fields defined by polynomials
• On some semi-groups
• Associative Polynomial Multiplications over an Infinite Integral Domain
• Remarks on n-groups as abstract algebras
• Weak automorphisms of integral domains
• The ternary operation (𝑎𝑏𝑐)=𝑎𝑏⁻¹𝑐 of a group

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