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Representation type of Jordan algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
The problem of classification of Jordan bit-nodules over (non-semisimple) finite dimensional Jordan algebras with respect to their representation type is considered. The notions of diagram of a Jordan algebra and of Jordan ...
El problema matricial de Bochner
(2021)
Comenzamos introduciendo los conceptos necesarios para poder entrar en contexto del Problema matricial de Bochner, el cual plantea la pregunta: ¿Cuáles son los pesos matriciales de tamaño N cuya sucesión de polinomios ...
Hochschild cohomology of algebras arising from categories and from bounded quivers
(European Mathematical Society, 2019-10)
The main objective of this paper is to provide a theory for computing the Hochschild cohomology of algebras arising from a linear category with finitely many objects and zero compositions. For this purpose, we consider ...
On a definition of multi-Koszul algebras
(Academic Press Inc Elsevier Science, 2013-02)
In this article we introduce the notion of multi-Koszul algebra for the case of a nonnegatively graded connected algebra with a finite number of generators of degree 1 and with a finite number of relations, as a generalization ...
Projective resolutions of associative algebras and ambiguities
(Elsevier Inc, 2015-06)
The aim of this article is to give a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algebras. We stress that this method leads to concrete ...
Jacobi-Zariski long nearly exact sequences for associative algebras
(Wiley, 2021-06)
For an extension of associative algebras (Formula presented.) over a field and an (Formula presented.) -bimodule (Formula presented.), we obtain a Jacobi–Zariski long nearly exact sequence relating the Hochschild homologies ...
The gerstenhaber bracket in hochschild cohomology: methods and examples
(American Mathematical Society, 2020-11)
Homological methods provide important information about the structureof associative algebras, revealing sometimes hidden connections amongst them. Thistext is about the Gerstenhaber bracket in Hochschild cohomology of ...
Adjunções entre categorias de álgebras e extensões de quociente bifinito
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2022-08-01)
The objective of this work is divided in two: the study of the correspondence between quivers and algebras via adjunctions and the study of the finitistic dimension conjecture for finite-dimensional algebras, via extensions ...
A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
(Elsevier Science, 2017-08)
We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective ...