Just infinite alternative algebras

Panasenko, A. S.

doi:10.1134/s0001434615110097

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Central Orders In Simple Finite Dimensional Alternative Supe...1

Introduction1

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2019

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“…Then B = A is a prime nondegenerate alternative algebra, so it is a central order in Cayley-Dickson algebra by [2]. Using the proof in [6] and first case we have that B embeds into a free finitely generated Z-module D.…”

Section: Central Orders In Simple Finite Dimensional Alternative Supe...mentioning

confidence: 89%

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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: Central Orders In Simple Finite Dimensional Alternative Supe...mentioning

confidence: 89%

“…In paper [6] the author proved that an alternative prime non-degenerate algebra embeds in a finitely generated module over its center. In paper [7] V.N.…”

Section: Introductionmentioning

confidence: 99%

Central orders in simple finite dimensional superalgebras

Panasenko¹

2019

Preprint

Self Cite

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Just infinite alternative algebras

Cited by 1 publication

References 9 publications

Central orders in simple finite dimensional superalgebras

Central orders in simple finite dimensional superalgebras

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