Results 11 to 20 of about 3,905 (118)
Representation Dimension and Quasi-hereditary Algebras
Advances in Mathematics, 2002 The representation dimension of an Artin algebra \(A\) has been defined by \textit{M. Auslander} [Representation dimension of Artin algebras. With the assistance of Bernice Auslander. (Queen Mary College Mathematics Notes. London: Queen Mary College) (1971; Zbl 0331.16026)] in several equivalent ways; for example, the representation dimension of \(A ...
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Ringel duality for certain strongly quasi-hereditary algebras [PDF]
, 2018 We study quasi-hereditary endomorphism algebras defined over a new class of finite dimensional monomial algebras with a special ideal structure. The main result is a uniform formula describing the Ringel duals of these quasi-hereditary algebras.
Kalck, M, Karmazyn, J
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On bounds of homological dimensions in Nakayama algebras [PDF]
, 2017 Let $A$ be a Nakayama algebra with $n$ simple modules and a simple module $S$ of even projective dimension $m$. Choose $m$ minimal such that a simple $A$-module with projective dimension $2m$ exists, then we show that the global dimension of $A$ is ...
Madsen, Dag Oskar, Marczinzik, Rene
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Illinois Journal of Mathematics, 1989 This article is the first of a series on quasi-hereditary algebras. This notion was introduced by \textit{E. Cline}, \textit{B. Parshall} and \textit{L. Scott} [see J. Algebra 117, 504-521 (1988; Zbl 0659.18011)] and \textit{B. Parshall} and \textit{L. Scott} [see ``Derived categories, quasi-hereditary algebras and algebraic groups'', Proc.
Dlab, Vlastimil, Ringel, Claus Michael
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The strong global dimension of piecewise hereditary algebras [PDF]
, 2017 Let T be a tilting object in a triangulated category equivalent to the bounded derived category of a hereditary abelian category with finite dimensional homomorphism spaces and split idempotents. This text investigates the strong global dimension, in the
Alvares, Edson Ribeiro +2 more
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On split quasi-hereditary covers and Ringel duality
Forum of Mathematics, SigmaIn this paper, we develop two new homological invariants called relative dominant dimension with respect to a module and relative codominant dimension with respect to a module.
Tiago Cruz
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On Auslander-Reiten components of algebras without external short paths [PDF]
, 2011 We describe the structure of semi-regular Auslander-Reiten components of artin algebras without external short paths in the module category. As an application we give a complete description of self-injective artin algebras whose Auslander-Reiten quiver ...
Jaworska, Alicja +2 more
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Hochschild cohomology of $q$-Schur algebras
, 2016 We compute the Hochschild cohomology of any block of $q$-Schur algebras. We focus the even part of this Hochschild cohomology ring. To compute the Hochschild cohomology of $q$-Schur algebras, we prove the following two results: first, we construct two ...
Tsukamoto, Mayu
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Cellular algebras and quasi-hereditary algebras: a comparison [PDF]
Electronic Research Announcements of the American Mathematical Society, 1999 Cellular algebras have been defined in a computational way by the existence of a special kind of basis. We compare them with quasi-hereditary algebras, which are known to carry much homological and categorical structure. Among the properties to be discussed here are characterizations of quasi-hereditary algebras inside the class of cellular algebras in
König, Steffen, Xi, Changchang
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Cellular structure of $q$-Brauer algebras
, 2012 In this paper we consider the $q$-Brauer algebra over $R$ a commutative noetherian domain. We first construct a new basis for $q$-Brauer algebras, and we then prove that it is a cell basis, and thus these algebras are cellular in the sense of Graham and ...
AI Molev +24 more
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