In this paper we determine the first Hochschild homology and cohomology with different
coefficients for gentle algebras and we give a geometrical interpretation of these (co) …

Let $\varphi: A\to B $ be a homological epimorphism of $ k $-algebras. We investigate the
relationship of the Hochschild cohomologies $ H^{i}(A) $ and $ H^{i}(B) $ of $ A $ and $ B …

Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH 1 (B)
with coefficients in the BB-bimodule B. If C is a tilted algebra such that B is the relation …

The first Hochschild cohomology group of a schurian cluster-tilted algebra Page 1 manuscripta
math. 128, 373–388 (2009) © Springer-Verlag 2008 Ibrahim Assem · María Julia Redondo The …

We study the Lie algebra structure of the first Hochschild cohomology group of a finite
dimensional monomial algebra Λ, in terms of the combinatorics of its quiver, in any …

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MATHEMATICA SINICA, Chinese Series Jan., 2006 Ë : 0583-1431(2006)01-0059-10 Á : A µ …

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 …

Given a finite dimensional special biserial algebra A with normed basis we obtain the
dimension formulae of the first Hochschild homology groups of A and the vector space Alt …

In this paper, we study the covering theory of laura algebras. We prove that if a connected
laura algebra is standard (that is, has a standard connecting component), then it has Galois …

Given a finite--dimensional monomial algebra $ A $ we consider the trivial extension $ TA $
and provide formulae, depending on the characteristic of the field, for the dimensions of the …