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Simple Right Alternative Superalgebras.
- Source :
-
Journal of Mathematical Sciences . Sep2024, Vol. 284 Issue 4, p527-544. 18p. - Publication Year :
- 2024
-
Abstract
- This document provides a comprehensive review of the classification and structure of finite-dimensional simple right-alternative superalgebras. It explores the application of superalgebras in ring theory and the construction of a meaningful structural theory. The document covers various types of superalgebras, including associative superalgebras, commutative alternative superalgebras, and Abelian superalgebras, providing definitions, examples, and classifications. It also discusses the properties and decomposition of different types of superalgebras based on their even parts, as well as the structure of singular superalgebras. The document includes mathematical proofs, examples, and open questions for further research. [Extracted from the article]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 284
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 179670483
- Full Text :
- https://doi.org/10.1007/s10958-024-07368-7