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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.)

Degenerations of nilpotent associative commutative algebras

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Author(s):
Kaygorodov, Ivan [1] ; Lopes, Samuel A. [2] ; Popov, Yury [3]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[2] Univ Porto, CMUP, Fac Ciencias, Porto - Portugal
[3] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 48, n. 4 NOV 2019.
Web of Science Citations: 4
Abstract

We give a complete description of degenerations of complex 5-dimensional nilpotent associative commutative algebras. As corollary, we have the description of all rigid algebras in the variety of 5-dimensional commutative Leibniz algebras. (AU)

FAPESP's process: 18/15712-0 - Conservative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants
FAPESP's process: 16/16445-0 - Representations of (super)algebras of Jordan type
Grantee:Yury Popov
Support Opportunities: Scholarships in Brazil - Doctorate