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Chains in evolution algebras
Cabrera-Casado, Yolanda; Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martin-Barquero, Dolores
; Martin-Gonzalez, Candido
(ELSEVIER, 2021-08-01)
In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, we provide four different constructions producing three-dimensional evolution ... -
Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda; Martin-Barquero, Dolores
; Martin-Gonzalez, Candido
; Tocino-Sánchez, Alicia
(Springer Nature, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... -
Two-dimensional perfect evolution algebras over domains.
Cabrera-Casado, Yolanda; Martin-Barquero, Dolores
; Martin-Gonzalez, Candido
(Springer Nature, 2023-01-23)
We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ...