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1. DUPLICATE, BERNSTEIN ALGEBRAS AND EVOLUTION ALGEBRAS.

Author

CONSEIBO, A., SAVADOGO, S., and OUATTARA, M.

Subjects
ALGEBRA, COMMUTATIVE algebra, CHAR
Abstract

In this paper, we firstly study a commutative algebra E over a field F of Char(F) ⵐ 2 that satisfying dim(Ꜫ ² ) = 1. We show that, such an algebra is an evolution algebra. Afterwards, we pay attention to commutative duplicate of a commutative algebra E. We find necessary and sufficient condition in which the duplicate D(E) is an evolution algebra. And, we finish by studying an evolution algebra that is a Bernstein algebra. We classify that algebras, up to isomorphism, in dimension ≤ 4. [ABSTRACT FROM AUTHOR]

Published
2021
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