# Degenerations of nilpotent associative commutative algebras

```@article{Kaygorodov2019DegenerationsON,
title={Degenerations of nilpotent associative commutative algebras},
author={Ivan Kaygorodov and Samuel A. Lopes and Yury Popov},
journal={Communications in Algebra},
year={2019},
volume={48},
pages={1632 - 1639}
}```
• Published 1 July 2019
• Mathematics
• Communications in Algebra
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.
11 Citations
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