ListarÁlgebra, Geometría y Topología - (AGT) por tema "Álgebra"
Mostrando ítems 1-20 de 20
-
A course on Leavitt path algebras
(2015-10-05)En este libro se tratan las nociones básicas relacionadas con dichas álgebras. Se ven ejemplos, se clasifican las de dimensión finita, se caracterizan las simples y las puramente infinitas simples, obteniéndose el principio ... -
An approach to absolute valued algebras by reflections
(2013-12-11)This talk deals with the problem of the classification of the finite-dimensional absolute-valued algebras, with an special emphasis in the case of the dimension eight. -
Categorías tensoriales, álgebras y superálgebras
(2022)After reviewing the basic definitions of tensor categories and the notion of semisimplification of symmetric tensor categories, it will be shown how the semisimplification of the category of representations of the cyclic ... -
Classification of leavitt path algebras with two vertices
(Independent University of Moscow, 2019-07)We classify row-finite Leavitt path algebras associated to graphs with no more than two vertices. For the discussion we use the following invariants: decomposability, the K0 group, detpNE1 q (included in the Franks ... -
Determinación algorítmica de estructuras Hopf Galois
(2018-10-15)La teoría Hopf-Galois es una generalización de la teoría de Galois. La clave es sustituir los grupos de Galois por álgebras de Hopf y la acción de Galois por una cierta “acción de Hopf” que actúa por endomorfismos. Este ... -
Groupoids in analysis and algebra.
(2023)Groupoid algebras are studied in both analytic and algebraic contexts. In analysis, groupoid C*-algebras play a fundamental role in the theory and include many important subclasses. Steinberg algebras are their purely ... -
Incidence algebras. Overview
(2015-05-13)In his celebrated paper of 1964, "On the foundations of combinatorial theory I: Theory of Möbius Functions" Gian-Carlo Rota defined an incidence algebra as a tool for solving combinatorial problems. Incidence algebra is a ... -
Introducción a la fiabilidad algebraica.
(2023)La teoría de fiabilidad se encarga de analizar la disponibilidad y fiabilidad de procesos y sistemas industriales, redes, etc. Existen muchos métodos para el cálculo de fiabilidad de sistemas, es un área en continuo ... -
Invariant ideals in Leavitt path algebras.
(Universitat Autònoma de Barcelona, Departament de Matemàtiques. Revista: Publications Matematiques, 2020-06-23)It is known that the ideals of a Leavitt path algebra LK (E) generated by Pl(E), by Pc(E) or by Pec(E) are invariant under isomorphism. Though the ideal generated by Pb∞ (E) is not invariant we find its “natural” replacement ... -
KV. Cohomology and some applications
(2020-02-24)Two versions of the KV-cohomology are presented and some algebraic and geometrical applications are given. We will see some applications to stochastic manifold. As a consequence, we can apply these ideas in Lorentzian ... -
Leavitt path algebras and the IBN property
(2016-12-21)A ring has invariant basis number property (IBN) if any two bases of a finitely generated free module have the same number of elements. In 1960's Leavitt constructed examples of rings R without IBN, more precisely for any ... -
Leavitt Path algebras via partial skew ring theory
(2018-04-17)We will introduce the theory or partial actions of groups and their associated algebras. As an example we will realize the Leavitt path algebra associated with a graph as a partial skew group ring. To finish, we will ... -
On isomorphism conditions for algebra functors with applications to Leavitt Path Algebras
(SpringerLink, 2023-07)We introduce certain functors from the category of commu- tative rings (and related categories) to that of Z-algebras (not neces- sarily associative or commutative). One of the motivating examples is the Leavitt path ... -
Sigma-maps on triangular algebras
(2018-01-30)Triangular algebras were introduced by Chase in the early 1960s. He ended up with these structures in the course of his study of the asymmetric behavior of semi-hereditary rings. Since their introduction, triangular ... -
Squares and associative representations of two dimensional evolution algebras
(World Scientific, 2021)We associate an square to any two dimensional evolution algebra. This geomet- ric object is uniquely determined, does not depend on the basis and describes the structure and the behaviour of the algebra. We determine the ... -
Teoría de Hopf Galois: Introducción y enfoque aritmético
(2018-10-05)La teoría de Hopf Galois es una generalización de la teoría de Galois usando álgebras de Hopf, y surge en 1969 de la mano de S. U. Chase y M. E. Sweedler, con la idea de reemplazar el grupo de Galois de una extensión de ... -
Ternary mappings of triangular algebras
(SpringerLink, Aequationes Mathematicae, 2021-03)We take acategorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied. -
The Talented monoid of a graph and its connections with the Leavitt path algebra
(2022)In this talk, we introduce an algebraic entity arising from a directed graph - the talented monoid. The talented monoid has an interesting relationship with the Leavitt path algebra. In fact, the group completion of the ... -
Two-dimensional perfect evolution algebras over domains
(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.
(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 ...