Results 31 to 40 of about 1,065 (101)
Finitistic dimension of monomial algebras
Journal of Algebra, 2003 The author describes the minimal projective resolution of the left ideal generated by any monomial \(p\) in a monomial algebra in terms of a combinatorial object, which is called the dimension tree of \(p\); and presents two algorithms for computing this dimension tree.
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Properly stratified algebras and tilting
, 2005 We study the properties of tilting modules in the context of properly stratified algebras. In particular, we answer the question when the Ringel dual of a properly stratified algebra is properly stratified itself, and show that the class of properly ...
Frisk, Anders, Mazorchuk, Volodymyr
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Orbit spaces of free involutions on the product of two projective spaces
, 2010 Let $X$ be a finitistic space having the mod 2 cohomology algebra of the product of two projective spaces. We study free involutions on $X$ and determine the possible mod 2 cohomology algebra of orbit space of any free involution, using the Leray ...
A. Borel +18 more
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Convex subquivers and the finitistic dimension [PDF]
Illinois Journal of Mathematics, 2017 Let $\cQ$ be a quiver and $K$ a field. We study the interrelationship of homological properties of algebras associated to convex subquivers of $\cQ$ and quotients of the path algebra $K\cQ$. We introduce the homological heart of $\cQ$ which is a particularly nice convex subquiver of $\cQ$. For any algebra of the form $K\cQ/I$, the algebra associated to
Green, Edward L., Marcos, Eduardo N.
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Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Twists of twisted generalized Weyl algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
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When are the classes of Gorenstein modules (co)tilting?
Comptes Rendus. MathématiqueFor the class of Gorenstein projective (resp. injective and flat) modules, we investigate and settle the questions when the middle class is tilting and the other ones are cotilting. The applications have in three directions.
Wang, Junpeng +2 more
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Finitistic dimension and Ziegler spectrum [PDF]
Proceedings of the American Mathematical Society, 1998 Given a two-sided artinian ring Λ \Lambda , it is shown that the Ziegler spectrum of Λ \Lambda forms a test class for certain homological properties of Λ \Lambda . We discuss the finitistic dimension of Λ \Lambda , Nunke’s condition, and also the relation between the big and the ...
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Hilbert–Kunz multiplicity of powers of ideals in dimension two
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2155-2176, July 2025.Abstract We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a “Ratliff–Rush version” of the Hilbert–Kunz multiplicity.
Alessandro De Stefani +3 more
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Coarse Geometry and P. A. Smith Theory
, 2010 We define a generalization of the fixed point set, called the bounded fixed set, for a group acting by isometries on a metric space. An analogue of the P. A.
Hambleton, Ian, Savin, Lucian
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