Search Results - "Redondo, Maria Julia"
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Gerstenhaber Algebra Structure on the Hochschild Cohomology of Quadratic String Algebras
Published in Algebras and representation theory (01-02-2018)“…We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH ∗ ( A ) when A is a quadratic string algebra. First we compute the Hochschild…”
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Full and convex linear subcategories are incompressible
Published in Proceedings of the American Mathematical Society (01-06-2013)“…]]>à Grothendieck of a linear category, introduced in our earlier papers using connected gradings. In this article we prove that any full convex subcategory is…”
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The Intrinsic Fundamental Group of a Linear Category
Published in Algebras and representation theory (01-08-2012)“…We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois…”
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Fundamental group of Schurian categories and the Hurewicz isomorphism
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2011)“…Let k be a field. We attach a CW-complex to any Schurian k -category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic…”
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Comparison morphisms between two projective resolutions of monomial algebras
Published in Revista de la Unión Matemática Argentina (1968) (01-06-2018)“…We construct comparison morphisms between two well-known projective resolutions of a monomial algebra $A$: the bar resolution $\operatorname{\mathbb{Bar}} A$…”
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6
Morita Invariance for Infinitesimal Deformations
Published in Algebras and representation theory (01-08-2022)“…Let A and B be two Morita equivalent finite dimensional associative algebras over a field 𝕜. It is well known that Hochschild cohomology is invariant under…”
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Cohomology of partial smash products
Published in Journal of algebra (15-07-2017)“…We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations…”
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On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
Published in Algebras and representation theory (01-12-2015)“…Given a cluster-tilted algebra B , we study its first Hochschild cohomology group HH 1 ( B ) with coefficients in the B - B -bimodule B . If C is a tilted…”
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The Ext-algebra for infinitesimal deformations
Published in Journal of pure and applied algebra (01-10-2024)“…Let f be a Hochschild 2-cocycle and let Af be an infinitesimal deformation of an associative finite dimensional algebra A over an algebraically closed field k…”
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Covering functors without groups
Published in Journal of algebra (15-06-2009)Get full text
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The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras
Published in Journal of algebra (15-08-2021)“…We determine the Gerstenhaber structure on the Hochschild cohomology ring of a class of self-injective special biserial algebras. Each of these algebras is…”
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The first Hochschild cohomology group of a schurian cluster-tilted algebra
Published in Manuscripta mathematica (01-03-2009)“…Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH 1 ( B ) with coefficients in the B - B -bimodule B . We find several…”
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13
Hochschild cohomology via incidence algebras
Published in Journal of the London Mathematical Society (01-04-2008)“…Given an algebra A, we associate an incidence algebra A(Σ) and compare their Hochschild cohomology groups…”
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Cartan–Leray spectral sequence for Galois coverings of linear categories
Published in Journal of algebra (01-02-2005)“…We provide a Cartan–Leray type spectral sequence for the Hochschild–Mitchell (co)homology of a Galois covering of linear categories. We infer results relating…”
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15
Laura Skew Group Algebras
Published in Communications in algebra (15-06-2007)“…We prove that if A is an artin algebra, G is a finite group acting on A such that |G| is invertible in A, and R = A[G] b is a basic algebra associated with the…”
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Universal Coefficient Theorem in Triangulated Categories
Published in Algebras and representation theory (01-04-2008)“…We consider a homology theory on a triangulated category with values in an abelian category . If the functor h reflects isomorphisms, is full and is such that…”
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L∞-structure on Bardzell's complex for monomial algebras
Published in Journal of pure and applied algebra (01-05-2022)“…Let A be a monomial associative finite dimensional algebra over a field k of characteristic zero. It is well known that the Hochschild cohomology of A can be…”
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Hochschild cohomology of incidence algebras as one-point extensions
Published in Linear algebra and its applications (15-05-2003)“…The aim of this paper is to compute the Hochschild cohomology groups of particular of algebras associated to partially ordered sets…”
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Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras
Published 24-05-2017“…We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH*$(A)$ when $A$ is a quadratic string algebra. First we compute the Hochschild…”
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20
Comparison morphisms between two projective resolutions of monomial algebras
Published 07-12-2016“…We construct comparison morphisms between two well-known projective resolutions of a monomial algebra $A$: the bar resolution and Bardzell's resolution; the…”
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