Year: 2021
Type: article
Abstract: In this paper, we firstly study a commutative algebra E over a field F of Char(F) ̸= 2 that satisfying dim(E2) = 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. {\bf Keywords}: Evolution algebras, Bernstein algebras, Duplicate, natural base.
Source: Le Matematiche
Institutions: University of Koudougou, Joseph Ayo Babalola University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7214813352