Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type

DOI10.1016/j.jalgebra.2014.09.034zbMath1369.17029arXiv1311.7587OpenAlexW2029207728MaRDI QIDQ479732

Sergey V. Pchelintsev, Ivan Pavlovic Shestakov

Publication date: 5 December 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7587

zbMATH Keywords

Jordan algebra\((-1,1)\)-algebraGrassmann envelopeprime degenerate algebrasuperalgebra of vector type

Mathematics Subject Classification ID

Superalgebras (17A70) Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Super structures (17C70) Lie-admissible algebras (17D25) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)

Related Items (14)

Central isotopes of \((-1,1) \)-algebras ⋮ Isotopes of the alternative Monster and the Skosyrskiĭ algebra ⋮ Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero ⋮ Identities of metabelian alternative algebras ⋮ Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part ⋮ Embedding of Jordan superalgebras into the superalgebras of Jordan brackets ⋮ Triple Lie systems associated with \((-1, 1)\) algebras ⋮ Simple right alternative superalgebras of Abelian type whose even part is a field ⋮ The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere ⋮ Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6 ⋮ Structure of some unital simple Jordan superalgebras with associative even part ⋮ Simple Jordan superalgebras with associative nil-semisimple even part ⋮ Prime algebras connected with monsters ⋮ A retrospect of the research in nonassociative algebras in IME-USP

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