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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.)

The Variety of Two-dimensional Algebras Over an Algebraically Closed Field

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Author(s):
Kaygorodov, Ivan [1] ; Volkov, Yury [2]
Total Authors: 2
Affiliation:
[1] Univ Fed ABC, CMCC, Santo Andre - Brazil
[2] St Petersburg State Univ, St Petersburg - Russia
Total Affiliations: 2
Document type: Journal article
Source: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES; v. 71, n. 4, p. 819-842, AUG 2019.
Web of Science Citations: 7
Abstract

The work is devoted to the variety of two-dimensional algebras over algebraically closed fields. First we classify such algebras modulo isomorphism. Then we describe the degenerations and the closures of certain algebra series in the variety of two-dimensional algebras. Finally, we apply our results to obtain analogous descriptions for the subvarieties of flexible and bicommutative algebras. In particular, we describe rigid algebras and irreducible components for these subvarieties. (AU)

FAPESP's process: 14/24519-8 - Generalized derivations of non associative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants