Some constructions for Jordan superalgebras with associative even part

Zhelyabin, V. N.; Zakharov, A. S.

doi:10.1090/spmj/1446

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2019

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“…It should be noticed that the study of Jordan superalgebras have been continued. For example, in works [8], [9], [10] V.N. Zhelyabin and A.S. Zakharov studied simple Jordan superalgebras with an associative even part.…”

Section: Introductionmentioning

confidence: 99%

Central orders in simple finite dimensional superalgebras

Panasenko¹

2019

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Formanek's module finiteness theorem states that every unital prime PI-algebra (i.e. a central order in a matrix algebra by Posner's theorem) embeds in a finitely generated module over its center. Earlier an analogue of this theorem for alternative and Jordan algebras was proved by V.N. Zhelyabin and an author. In this paper we discuss this problem for associative, classical Jordan and some alternative superalgebras.

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Section: Introductionmentioning

confidence: 99%

Central orders in simple finite dimensional superalgebras

Panasenko¹

2019

Preprint

View full text Add to dashboard Cite

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Some constructions for Jordan superalgebras with associative even part

Cited by 1 publication

References 15 publications

Central orders in simple finite dimensional superalgebras

Central orders in simple finite dimensional superalgebras

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