ListarMA - Artículos por tema "Álgebra"
Mostrando ítems 1-15 de 15
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Attribute implications with unknown information based on weak Heyting algebras
Cordero-Ortega, Pablo
; Enciso-García-Oliveros, Manuel; Mora, Angel; Pérez-Gámez, Francisco (Elsevier, 2024-08)
Simplification logic, a logic for attribute implications, was originally defined for Boolean sets. It was extended to distributive fuzzy sets by using a complete dual Heyting algebra. In this paper, we weaken this restriction ... -
Automated generation of contrapuntal musical compositions using probabilistic logic in Derive
Aguilera-Venegas, Gabriel; Galán-García, José Luis; Madrid, Rafael; Martínez, Antonio Manuel; Padilla-Domínguez, Yolanda; Rodríguez-Cielos, Pedro[et al.] (Elsevier (Mathematics and computers in simulation), 2010)
In this work, we present a new application developed in Derive 6 to compose counterpoint for a given melody (“cantus firmus”). The result is non-deterministic, so different counterpoints can be generated for a fixed melody, ... -
Automorphism groups of Cayley evolution algebras
Costoya Ramos, María Cristina; Muñoz, Vicente; Tocino-Sánchez, Alicia; Viruel-Arbaizar, Antonio Ángel (Springer Nature, 2023)
In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field k contains sufficiently many elements (for example if k is infinite) then every finite group ... -
Enhancing CAS improper integrals computations using extensions of the residue theorem
Galán-García, José Luis; Aguilera-Venegas, Gabriel; Galán-García, María Ángeles; Rodríguez-Cielos, Pedro; Rodríguez-Cielos, Ricardo; Atencia-McKillop, Iván; Padilla-Domínguez, Yolanda Carmen[et al.] (Springer, 2019)
In a previous paper, the authors developed new rules for computing improper integrals which allow computer algebra systems (CAS) to deal with a wider range of improper integrals. The theory used in order to develop such ... -
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 ... -
Graded contractions of the [formula omitted]-grading on [formula omitted]
Draper-Fontanals, Cristina; Meyer, Thomas Leenen; Sánchez-Ortega, Juana (Elsevier, 2024)
Graded contractions of the -grading on the complex exceptional Lie algebra are classified up to equivalence and up to strong equivalence. The non-toral fine -grading is highly symmetric, with all the homogeneous components ... -
Largest ideals in Leavitt path algebras.
Cam, Vural; Gil-Canto, Cristóbal; Kanuni, Müge; Siles-Molina, Mercedes (Springer Nature, 2020-02-22)
We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, ... -
Leavitt path algebras of Cayley graphs C_n^j.
Abrams, Gene; Erickson, Stefan; Gil-Canto, Cristóbal (Springer Nature, 2018-09-15)
Let n be a positive integer. For each 0 <= j <= n-1 we let C_n^j denote the Cayley graph of the cyclic group Zn with respect to the subset {1,j}. Utilizing the Smith Normal Form process, we give an explicit description of ... -
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 ... -
On the characterization of the space of derivations in evolution algebras
Cabrera Casado, Yolanda; Cadavid, Paula; Rodiño Montoya, Mary Luz; Rodriguez, Pablo M. (Springer Link, 2020)
We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twin-free associated graph, we prove that the ... -
Quasi-closed elements in fuzzy posets
Ojeda Hernández, Manuel; Cabrera, Inma P.; Cordero-Ortega, Pablo (ELSEVIER, 2022-04)
We generalize the notion of quasi-closed element to fuzzy posets in two stages: First, in the crisp style in which each element in a given universe either is quasi-closed or not. Second, in the graded style by defining ... -
Regular evolution algebras are universally finite.
Costoya Ramos, María Cristina; Ligouras, Panagiote; Tocino-Sánchez, Alicia; Viruel-Arbaizar, Antonio Ángel (AMS, 2021-12-14)
In this paper we show that evolution algebras over any given field k are universally finite. In other words, given any finite group G, there exist infinitely many regular evolution algebras X such that Aut(X) ∼= G. The ... -
Representations of relative Cohn path algebras.
Gil-Canto, Cristóbal; Gonçalves, Daniel (Elsevier, 2020-01-07)
We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings. To do this we prove uniqueness theorems for relative Cohn path algebras. Furthermore, given ... -
The cycline subalgebra of a Kumjian-Pask algebra.
Clark, Lisa Orloff; Gil-Canto, Cristóbal; Nasr-Isfahani, Alireza (American Mathematical Society, 2016-11-21)
Let $\Lambda$ be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra $\mathcal{M}$ inside the Kumjian-Pask algebra ${\rm KP}_R(\Lambda)$. We also prove a generalized Cuntz-Krieger ...