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Embedding of Jordan Superalgebras into the Superalgebras of Jordan Brackets by Zhelyabin, V. N. is a Mathematics article available to read on EtoBox.
What is Embedding of Jordan Superalgebras into the Superalgebras of Jordan Brackets about?
We show that the Jordan bracket on an associative commutative superalgebra is extendable to the superalgebra of fractions. In particular, we prove that a unital simple abelian Jordan superalgebra is embedded into a simple superalgebra of a Jordan bracket. We also study the unital simple Jordan superalgebras whose even part is a field. We demonstrate that each of these superalgebras is either a superalgebra of a nondegenerate bilinear form, or a four-dimensional simple Jordan superalgebra, or a superalgebra of a Jordan bracket, or a superalgebra whose odd part is an irreducible module over a field.
Who reads Embedding of Jordan Superalgebras into the Superalgebras of Jordan Brackets?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Zhelyabin, V. N.
- Publisher
- SP MAIK Nauka/Interperiodica; Springer-Verlag; Pleiades Publishing; Springer Science and Business Media LLC; Pleiades Publishing Ltd (ISSN 0037-4466)
- Published
- 2020
- Language
- EN
- Field
- Mathematics (Physical Sciences)