Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part

DOI10.1070/SM8678zbMath1419.17041MaRDI QIDQ5272556

Sergey V. Pchelintsev, Oleg Vladimirovich Shashkov

Publication date: 30 June 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple superalgebraright-alternative superalgebrasuper-algebra of abelian type

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Superalgebras (17A70) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Right alternative rings (17D15)

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Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero ⋮ Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part ⋮ Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part ⋮ Simple right-alternative superalgebras with semisimple even part ⋮ Finite-dimensional unital right alternative superalgebras with strongly alternative even part ⋮ Singular 6-dimensional superalgebras ⋮ On the Wedderburn's principal theorem in right alternative superalgebras of capacity 1 ⋮ Right alternative superalgebras of capacity 1 with strongly alternative even part ⋮ Structure of some unital simple Jordan superalgebras with associative even part ⋮ Simple right-alternative unital superalgebras over an algebra of matrices of order 2 ⋮ Linearly generated singular superalgebras

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