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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 (n+1)-ARY DERIVATIONS OF SIMPLE n-ARY MAL'TSEV ALGEBRAS

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Author(s):
Kaigorodov, I. B. [1, 2]
Total Authors: 1
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508 Sao Paulo - Brazil
[2] Russian Acad Sci, SL Sobolev Math Inst, Siberian Branch, Novosibirsk 630090 - Russia
Total Affiliations: 2
Document type: Journal article
Source: ST PETERSBURG MATHEMATICAL JOURNAL; v. 25, n. 4, p. 575-585, AUG 2014.
Web of Science Citations: 9
Abstract

The (n + 1)-ary derivations of simple non-Lie n-ary Mal'tsev algebras are described in the case of the binary algebra M-7 and the ternary algebra M-8. As a consequence, a description is obtained for the 3-ary derivations of simple non-Lie Mal'tsev algebras and simple finite-dimensional non-Lie binary-Lie algebras. Examples of semisimple Mal'tsev algebras having nontrivial 3-ary derivations are given. (AU)

FAPESP's process: 11/51132-9 - General Poisson algebras and generalized derivarions
Grantee:Ivan Kaygorodov
Support Opportunities: Scholarships in Brazil - Post-Doctoral