Arity Shape of Polyadic Algebraic Structures

DOI10.15407/MAG15.01.003zbMath1433.11031arXiv1703.10132OpenAlexW2603234017MaRDI QIDQ5235905

Steven Duplij

Publication date: 14 October 2019

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10132

zbMATH Keywords

Fermat's Last TheoremDiophantine equationpolyadic ringmultistarLander-Parkin-Selfridge conjecturemultiactionpolyadic vector space

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) (n)-ary systems ((nge 3)) (20N15) Nonassociative nonselfadjoint operator algebras (47L70) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Other (n)-ary compositions ((n ge 3)) (17A42)

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Membership Deformation of Commutativity and Obscure n-ary Algebras ⋮ Polyadic integer numbers and finite \((m,n)\)-fields

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