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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Right Alternative Superalgebras

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Author(s):
da Silva, Juaci Picanco [1] ; Murakami, Lucia S. I. [2] ; Shestakov, Ivan [2]
Total Authors: 3
Affiliation:
[1] Fed Univ Para, ICEN, Fac Math, BR-66059 Belem, Para - Brazil
[2] Univ Sao Paulo, Dept Math, IME, BR-05311970 Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 44, n. 1, p. 240-252, 2016.
Web of Science Citations: 7
Abstract

Simple right alternative superalgebras which have a simple algebra as even part and, as odd part, an irreducible bimodule over the even part are investigated. Under these conditions, superalgebras with one dimensional even part are classified, as well as superalgebras having M-2(F) as even part and a unital irreducible bimodule over M-2(F) of dimension less than or equal to 6 as odd part. It is shown that there is only a unique non alternative simple right alternative superalgebra of the first type and, for the second type, there is a infinite family depending on a single parameter. (AU)

FAPESP's process: 10/50347-9 - Algebras, representations e applications
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants