N-ary algebras

DOI10.1017/S0027763000018791zbMath0466.16017OpenAlexW1568693615MaRDI QIDQ3918256

Renate Carlsson

Publication date: 1980

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000018791

zbMATH Keywords

triple systemscomplete reducibilityternary associative algebrasfinite dimensional simple n-ary algebrasWedderburn decomposition theorem

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semirings (16Y60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (11)

Generalization of n-ary Nambu algebras and beyond ⋮ Membership Deformation of Commutativity and Obscure n-ary Algebras ⋮ Poisson triple systems ⋮ Jordan quadruple systems ⋮ Construction and characterization of \(n\)-ary hom-bialgebras and \(n\)-ary infinitesimal hom-bialgebras ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ HYPERMATRIX ALGEBRA AND IRREDUCIBLE ARITY IN HIGHER-ORDER SYSTEMS: CONCEPTS AND PERSPECTIVES ⋮ OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N-TUPLE SYSTEMS ⋮ On Deformations of n-Lie Algebras ⋮ Alternating quaternary algebra structures on irreducible representations of \(\mathfrak{sl}_2(\mathbb C)\) ⋮ TERNARY AND NON-ASSOCIATIVE STRUCTURES

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