Zobrazeno 1 - 10
of 344
pro vyhledávání: '"Dolores Martin"'
Autor:
Casado, Yolanda Cabrera, Gonçalves, María Inez Cardoso, Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially, we describe the Hopf algebra associated with the automorphism group o
Externí odkaz:
http://arxiv.org/abs/2407.15769
Autor:
Casado, Yolanda Cabrera, Gonçalves, Maria Inez Cardoso, Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz
The leitmotiv of this paper is linking algebraic properties of an evolution algebra with combinatorial properties of the (possibly several) graphs that one can associate to the algebra. We link nondegeneracy, zero annihilator, absorption property, vo
Externí odkaz:
http://arxiv.org/abs/2404.08752
Autor:
Bock, Wolfgang, Canto, Cristóbal Gil, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz, Sebandal, Alfilgen
In this note we prove that the algebras $L_K(E)$ and $KE$ have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The main argument leans on (1) the holomorphic functional calculus; (2) the
Externí odkaz:
http://arxiv.org/abs/2402.18585
We consider the intersection $\mathfrak{M}(A)$ of all maximal ideals of an evolution algebra $A$ and study the structure of the quotient $A/\M(A)$. In a previous work, maximal ideals have been related to hereditary subsets of a graph associated to th
Externí odkaz:
http://arxiv.org/abs/2311.00102
The theory of path algebras is usually circunscripted to the study of representations, usually linked to finite graphs. In our work, we focus on studying the structure of path algebras over a field associated to arbitrary graphs. We characterise perf
Externí odkaz:
http://arxiv.org/abs/2310.10580
In this article, we introduce a relation including ideals of an evolution algebra and hereditary subsets of vertices of its associated graph and establish some properties among them. This relation allows us to determine maximal ideals and ideals havi
Externí odkaz:
http://arxiv.org/abs/2303.04461
The notion of conservative algebras appeared in a paper by Kantor in 1972. Later, he defined the conservative algebra $W(n)$ of all algebras (i.e. bilinear maps) on the $n$-dimensional vector space. If $n>1$, then the algebra $W(n)$ does not belong t
Externí odkaz:
http://arxiv.org/abs/2301.00388
Autor:
Bock, Wolfgang, Canto, Cristóbal Gil, Barquero, Dolores Martín, González, Cándido Martín, Campos, Iván Ruiz, Sebandal, Alfilgen
The Gelfand-Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce the algebraic entropy for path algebras. For the path algebras, Leavitt path algebras and the path alg
Externí odkaz:
http://arxiv.org/abs/2212.10912
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 dimension of the diagonal su
Externí odkaz:
http://arxiv.org/abs/2206.13912
We introduce certain functors from the category of commutative rings (and related categories) to that of $\mathbb{Z}$-algebras (not necessarily associative or commutative). One of the motivating examples is the Leavitt path algebra functor $R\mapsto
Externí odkaz:
http://arxiv.org/abs/2204.08422