Results 21 to 30 of about 1,065 (101)
Finitistic dimension of properly stratified algebras
Advances in Mathematics, 2004 The main result of this article is the following remarkable Theorem: Assume that \(A\) is a properly stratified algebra (for example, a quasi-hereditary algebra) having a duality preserving isomorphism classes of simple modules. Assume in addition that the characteristic tilting module \(T\) of \(A\) is also cotilting.
Mazorchuk, Volodymyr, Ovsienko, Serge
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Coarse amenability and discreteness [PDF]
, 2015 This paper is devoted to dualization of paracompactness to the coarse category via the concept of $R$-disjointness. Property A of G.Yu can be seen as a coarse variant of amenability via partitions of unity and leads to a dualization of paracompactness ...
Dydak, Jerzy
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Finitistic dimension conjecture and conditions on ideals [PDF]
Forum Mathematicum, 2011 The notion of Igusa-Todorov classes is introduced in connection with the finitistic dimension conjecture. As application we consider conditions on special ideals which imply the Igusa-Todorov and other finiteness conditions on modules proving the finitistic dimension conjecture and related conjectures in those cases.
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r‐Costar Pair of Contravariant Functors
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We generalize r‐costar module to r‐costar pair of contravariant functors between abelian categories.
S. Al-Nofayee, Feng Qi
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THE FINITISTIC DIMENSION CONJECTURE AND RELATIVELY PROJECTIVE MODULES [PDF]
Communications in Contemporary Mathematics, 2013 The famous finitistic dimension conjecture says that every finite-dimensional 𝕂-algebra over a field 𝕂 should have finite finitistic dimension. This conjecture is equivalent to the following statement: If B is a subalgebra of a finite-dimensional 𝕂-algebra A such that the radical of B is a left ideal in A, and if A has finite finitistic dimension ...
Xi, Changchang, Xu, Dengming
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An approach to the finitistic dimension conjecture
Journal of Algebra, 2008 Let $R$ be a finite dimensional $k$-algebra over an algebraically closed field $k$ and $\mathrm{mod} R$ be the category of all finitely generated left $R$-modules. For a given full subcategory $\mathcal{X}$ of $\mathrm{mod} R,$ we denote by $\pfd \mathcal{X}$ the projective finitistic dimension of $\mathcal{X}.$ That is, $\pfd \mathcal{X}:=\mathrm{sup}
Huard, François +2 more
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Equivariant embeddings and compactifications of free G‐spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 1-14, 2003., 2003 For a compact Lie group G, we characterize free G‐spaces that admit free G‐compactifications. For such G‐spaces, a universal compact free G‐space of given weight and given dimension is constructed. It is shown that if G is finite, the n‐dimensional Menger free G‐compactum μ n is universal for all separable, metrizable free G‐spaces of dimension less ...
Natella Antonyan
wiley +1 more source
Finitistic dimension and restricted flat dimension
Journal of Algebra, 2008 The main result of this paper is the following statement: Theorem. Let \(R\) be a ring and \(T\) an \(R\)-module. Denote \(A=\text{End}_R(T)\). (1) If \(T\) is selfsmall and coproduct-selforthogonal in the category of all \(R\)-modules, then the restricted flat dimension of \(T_A\) does not exceed the finitistic dimension of \(_AA\), which, in turn, is
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Finitistic weak dimension of commutative arithmetical rings [PDF]
Arabian Journal of Mathematics, 2012 It is proven that each commutative arithmetical ring $R$ has a finitistic weak dimension $\leq 2$. More precisely, this dimension is 0 if $R$ is locally IF, 1 if $R$ is locally semicoherent and not IF, and 2 in the other cases.
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Cotorsion pairs generated by modules of bounded projective dimension
, 2007 We apply the theory of cotorsion pairs to study closure properties of classes of modules with finite projective dimension with respect to direct limit operations and to filtrations. We also prove that if the ring is an order in an $\aleph_0$-noetherian
Bazzoni, Silvana, Herbera, Dolors
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