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Simple Right Alternative Superalgebras.

Authors :
Pchelintsev, S. V.
Shashkov, O. V.
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