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Thick subcategories
"... Abstract. We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a pgroup we obtain a complete classification of the thick subcategories. The same classific ..."
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Abstract. We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a pgroup we obtain a complete classification of the thick subcategories. The same
Thick subcategories of the . . .
"... We classify thick subcategories of the bounded derived category of an abelian category A in terms of subcategories of A. The proof can be applied to characterize the localizing subcategories of the full derived category of A. As an application we prove an algebraic analogon of the telescope conject ..."
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We classify thick subcategories of the bounded derived category of an abelian category A in terms of subcategories of A. The proof can be applied to characterize the localizing subcategories of the full derived category of A. As an application we prove an algebraic analogon of the telescope
Refining thick subcategory theorems
 Fundamenta Mathematicae
"... Abstract. We use a Ktheory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectr ..."
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Cited by 3 (3 self)
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Abstract. We use a Ktheory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category
CLASSIFYING THICK SUBCATEGORIES OF PERFECT COMPLEXES
, 2006
"... Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes Dper(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (i ..."
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Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes Dper(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set
A note on the thick subcategory theorem
, 1994
"... In this paper we will discuss an algebraic version (Theorem 1.6) of the thick subcategory theorem of HopkinsSmith [HS] (Theorem 1.4). The former is stated as Theorem 3.4.3 in [Rav92], but the proof given there is incorrect. (A list of errata for [Rav92] can be obtained by email from the third autho ..."
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In this paper we will discuss an algebraic version (Theorem 1.6) of the thick subcategory theorem of HopkinsSmith [HS] (Theorem 1.4). The former is stated as Theorem 3.4.3 in [Rav92], but the proof given there is incorrect. (A list of errata for [Rav92] can be obtained by email from the third
KrullSchmidt decompositions for thick subcategories
, 2005
"... Abstract. Following Krause [Kra99], we prove KrullSchmidt theorems for thick subcategories of various triangulated categories: derived categories of rings, noetherian stable homotopy categories, stable module categories over Hopf algebras, and the stable homotopy category of spectra. In all these c ..."
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Cited by 5 (1 self)
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Abstract. Following Krause [Kra99], we prove KrullSchmidt theorems for thick subcategories of various triangulated categories: derived categories of rings, noetherian stable homotopy categories, stable module categories over Hopf algebras, and the stable homotopy category of spectra. In all
Thick subcategories and virtually Gorenstein algebras
 Illinois J. Math
"... Abstract. An Artin algebra is by definition virtually Gorenstein if the class of modules which are right orthogonal (with respect to Ext * (−, −)) to all Gorenstein projective modules coincides with the class of modules which are left orthogonal to all Gorenstein injective modules. We provide a new ..."
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Cited by 6 (2 self)
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Abstract. An Artin algebra is by definition virtually Gorenstein if the class of modules which are right orthogonal (with respect to Ext * (−, −)) to all Gorenstein projective modules coincides with the class of modules which are left orthogonal to all Gorenstein injective modules. We provide a new characterization in terms of finitely generated modules. In addition, an example of an algebra is presented which is not virtually Gorenstein.
MiniWorkshop: Thick Subcategories Classifications and Applications
, 2006
"... Abstract. Thick subcategories of triangulated categories arise in various mathematical areas, for instance in algebraic geometry, in representation theory of groups and algebras, or in stable homotopy theory. The aim of this workshop has been to bring together experts from these fields and to stimul ..."
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Abstract. Thick subcategories of triangulated categories arise in various mathematical areas, for instance in algebraic geometry, in representation theory of groups and algebras, or in stable homotopy theory. The aim of this workshop has been to bring together experts from these fields
c © SpringerVerlag 1999 Decomposing thick subcategories
, 1998
"... Abstract. Let mod kG be the stable category of finitely generated modular representations of a finite group G over a field k. We prove a KrullRemakSchmidt theorem for thick subcategories of mod kG. It is shown that every thick tensorideal C ofmod kG (i.e. a thick subcategory which is a tensor id ..."
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Abstract. Let mod kG be the stable category of finitely generated modular representations of a finite group G over a field k. We prove a KrullRemakSchmidt theorem for thick subcategories of mod kG. It is shown that every thick tensorideal C ofmod kG (i.e. a thick subcategory which is a tensor
Results 1  10
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