ListarÁlgebra, Geometría y Topología - (AGT) por tema "Leavitt path algebra"
Mostrando ítems 1-12 de 12
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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 ... -
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 ... -
Factorization of Ideals in Leavitt Path algebras
(2017-04-04)After pointing out how ideals in a Leavitt path algebra L of a graph E behave like ideals in a commutative ring, we shall consider the question of factorizing an arbitrary ideal I as a product of finitely many special type ... -
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 ... -
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 ... -
On intersections of ideals of Leavitt path algebras
(2017-04-04)During the 2015 CIMPA Research School in Turkey on “Leavitt path algebras and graph C*-algebras”, Astrid an Huef raised the question whether the statement: For a given graph E, every (closed) ideal I of C*(E) is ... -
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 ... -
On the structure of Leavitt path algebras and Kumjian-Pask algebras.
(UMA Editorial, 2017-01-15)Esta tesis doctoral pretende continuar y avanzar en el conocimiento de las álgebras de caminos de Leavitt. Para un grafo dirigido E, el álgebra de caminos de Leavitt L(E) es el análogo algebraico de la C*-álgebra de ... -
The center and the Lie structure of a Leavitt path algebra
(2015-10-29)These notes contain all the explanations and references corresponding to the course I delivered during the first CIMPA research school in Panama in October 2015 (see the complete program of the school here: http://cimpa. ... -
The center and the Lie structure of a Leavitt path algebra
(2017-06-30)Este es el curso que impartí en la Escuela de investigación "CIMPA School Recent trends in non-commutative algebra" en junio de 2017 en Pune, India (véase https://iiserpunecimpa17.wordpress.com/) -
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 ... -
Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra
(Springer, 2019-04)Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra. A key ingredient is a characterization ...