Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Marcos, Eduardo N."'
In this paper we introduce, according to one of the main ideas of $\tau$-tilting theory, the $\tau$-tilting Hochschild cohomology in degree one of a finite dimensional $k$-algebra $\la$, where $k$ is a field. We define the excess of $\la$ as the diff
Externí odkaz:
http://arxiv.org/abs/2404.06916
We consider stratifying ideals of finite dimensional algebras in relation with Morita contexts. A Morita context is an algebra built on a data consisting of two algebras, two bimodules and two morphisms. For a strongly stratifying Morita context - or
Externí odkaz:
http://arxiv.org/abs/2303.17369
Publikováno v:
In Journal of Algebra 1 February 2024 639:120-149
We give a new and intrinsic proof of the transitivity of the braid group action on the set of full exceptional sequences of coherent sheaves on a weighted projective line. We do not use here the corresponding result of Crawley-Boevey for modules over
Externí odkaz:
http://arxiv.org/abs/2102.04584
Let $B\subset A$ be a left or right bounded extension of finite dimensional algebras. We use the Jacobi-Zariski long nearly exact sequence to show that $B$ satisfies Han's conjecture if and only if $A$ does, regardless if the extension splits or not.
Externí odkaz:
http://arxiv.org/abs/2101.02597
Autor:
Cibils, Claude, Marcos, Eduardo N.
Let $G$ be a group acting on a small category $\mathcal C$ over a field $k$, that is $\mathcal C$ is a $G$-$k$-category. We first obtain that $\mathcal C$ is resolvable by a category which is $G$-$k$-equivalent to it, on which $G$ acts freely on obje
Externí odkaz:
http://arxiv.org/abs/2009.09251
For an extension of associative algebras $B\subset A$ over a field and an $A$-bimodule $X$, we obtain a Jacobi-Zariski long nearly exact sequence relating the Hochschild homologies of $A$ and $B$, and the relative Hochschild homology, all of them wit
Externí odkaz:
http://arxiv.org/abs/2009.05017
Publikováno v:
Pacific J. Math. 307 (2020) 63-77
A main purpose of this paper is to prove that the class of finite dimensional algebras which verify Han's conjecture is closed under split bounded extensions.
Comment: An extra hypothesis is added for Proposition 3.3, and the proof is modified a
Comment: An extra hypothesis is added for Proposition 3.3, and the proof is modified a
Externí odkaz:
http://arxiv.org/abs/1908.11130
We provide a formula for the change of the dimension of the first Hoch\-schild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomolo
Externí odkaz:
http://arxiv.org/abs/1904.03565
We describe how the Hochschild (co)homology of a bound quiver algebra changes when adding or deleting arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained by A. Kaygun and a one st
Externí odkaz:
http://arxiv.org/abs/1812.07655