Listar por autor "Cabrera-Casado, Yolanda"
Mostrando ítems 1-17 de 17
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Basic ideals in evolution algebras
Cabrera-Casado, Yolanda
; Siles-Molina, Mercedes; Kanuni, Müge (Elsevier, 2019)
With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ... -
Basic Ideals in evolution algebras
Cabrera-Casado, Yolanda (2019-11-20)
Recently a new type of genetic algebras, denominated evolution algebras, has emerged to enlighten the study of non-Mendelian genetics, which is the basic language of the molecular Biology. With the aim of finding invariants ... -
Chains in evolution algebras
Cabrera-Casado, Yolanda; Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores; Martín-González, Cándido (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 ... -
Classification of three-dimensional evolution algebras
Cabrera-Casado, Yolanda; Siles-Molina, Mercedes; Velasco Collado, Mª Victoria (Elsevier, 2017)
We classify three dimensional evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7. -
Connecting ideals in evolution algebras with hereditary subsets of its associated graph
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (2023)
In this article, we introduce a relation including ideals of an evo-lution algebra and hereditary subsets of vertices of its associated graph andestablish some properties among them. This relation allows us to determinemaximal ... -
Derivations and loops of some evolution algebras
Cabrera-Casado, Yolanda; Cadavid, Paula; Reis, Tiago (Springer Link, 2023)
In this work we study the space of derivations of non-degenerate evolution algebras. We improve some results obtained recently in the literature and, as a consequence, we advance in the description of the derivations for ... -
Derivations and loops of some evolution algebras
Cabrera-Casado, Yolanda; Cadavid, Paula; Reis, Tiago (Springer, 2023)
In this work we study the space of derivations of non-degenerate evolution algebras. We improve some results obtained recently in the literature and, as a consequence, we advance in the description of the derivations for ... -
Evolution algebras
Cabrera-Casado, Yolanda (2017-05-23)
Esta tesis tiene por objeto el estudio de las llamadas álgebras de evolución, las cuales son una nueva clase de álgebras genéticas cuyo origen está en la formulación de la genética que no sigue las leyes de Mendel. Éstas ... -
Evolution algebras
Cabrera-Casado, Yolanda (UMA Editorial, 2016)
La tesis tiene por título “Álgebras de evolución”. Está escrita en inglés y tiene un total de 189 páginas. Dicho manuscrito está formado por las siguientes capítulos: 1.- Introducción 2.- Resumen en español. 3.- Hechos ... -
Evolution algebras of arbitrary dimension and their decompositions
Cabrera-Casado, Yolanda; Siles-Molina, Mercedes; Velasco Collado, Mª Victoria (Elsevier, 2016)
We study evolution algebras of arbitrary dimension. We analyze in deep the notions of evolution subalgebras, ideals and non-degeneracy and describe the ideals generated by one element and characterize the simple evolution ... -
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (Taylor & Francis, 2024-05-13)
This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, Zariski topology and the ... -
Simultaneous orthogonalization of inner products in infinite-dimensional vector spaces
Cabrera-Casado, Yolanda; Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido (Taylor and Francis, 2025)
For an arbitrary field K and a family of inner products in a K-vector space V of arbitrary dimension, we study necessary and sufficient conditions in order to have a basis which is orthogonal relative to all the inner ... -
Simultaneous orthogonalization of inner products over arbitrary fields.
Cabrera-Casado, Yolanda; Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido (Springer, 2023)
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space V over an arbitrary field K to have an orthogonal basis relative to all the inner products. Some applications ... -
Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; 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 ... -
Tensor product of evolution algebras.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (SpringerLink, 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; Martín-Barquero, Dolores; Martín-González, Cándido (SpringerLink, 2023-01)
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 ... -
Two-dimensional perfect evolution algebras over domains.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido (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 ...