Results 51 to 60 of about 1,065 (101)
Sheaf Theoretic Cohomological Dimension and Finitistic Spaces [PDF]
Proceedings of the American Mathematical Society, 1982 For a topological n n -manifold X X , we proved earlier [7] that Di m Z ( X ) = n + 1 {\text {Di}}{{\text {m}}
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On the finitistic dimension conjecture of Artin algebras
Journal of Algebra, 2008 Let \(A\) be an Artin algebra. The finitistic dimension of \(A\) is defined as the supremum of the projective dimensions of finitely generated left \(R\)-modules of finite projective dimension. The finitistic dimension conjecture, due to H. Bass in 1960, asserts that the finitistic dimension of any Artin algebra is finite.
Zhang, Aiping, Zhang, Shunhua
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Recollements of derived categories III: finitistic dimensions
, 2014 26 ...
Chen, Hong Xing, Xi, Chang Chang
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Gorensteinness, homological invariants and Gorenstein derived categories [PDF]
, 2014 Relations between Gorenstein derived categories, Gorenstein defect categories and Gorenstein stable categories are established. Using these, the Gorensteinness of an algebra $A$ and invariants with respect to recollements of the bounded Gorenstein ...
Gao, Nan
core
Finitistic dimension and tilting modules for stratified algebras
Journal of Algebra, 2005 The authors prove two general results on the global and finitistic dimension of a quasi-hereditary algebra, and present several corollaries and applications. Let \(A\) be a quasi-hereditary algebra, \({\mathcal F}(\Delta)\) the full subcategory of \(A\)-mod consisting of modules having a costandard filtration, and \(T(A)\) the characteristic tilting ...
Khomenko, Oleksandr +2 more
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Subalgebras and finitistic dimensions of Artin algebras [PDF]
Acta Mathematica Scientia, 2011 Let $A$ be an Artin algebra. We investigate subalgebras of $A$ with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.
Zhang, Aiping, Zhang, Shunhua
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Finitistic and Representation Dimensions
, 2008 We prove that the finitistic dimension conjecture, the Gorenstein Symmetry Conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for artin algebras which can be realized as endomorphism algebras of modules over representation-finite algebras.
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On finitistic dimension of stratified algebras
, 2006 In this survey we discuss the results on the finitistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
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On stable modules that are not Gorenstein projective
, 2017 In \cite{AB}, Auslander and Bridger introduced Gorenstein projective modules and only about 40 years after their introduction a finite dimensional algebra $A$ was found in \cite{JS} where the subcategory of Gorenstein projective modules did not coincide ...
Marczinzik, Rene
core
Finitistic dimension conjecture and relative hereditary algebras
Journal of Algebra, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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