Results 1 to 10 of about 96 (95)
Morphisms between two constructions of Witt vectors of non-commutative rings
Proceedings of the American Mathematical Society, 2020 Let A A be any unital associative, possibly non-commutative ring and let
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Localization and Flatness in Quantale Theory
MathematicsThe study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
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Admissible Semimorphisms of icl-Groupoids
MathematicsIf M is an algebra in a semidegenerate congruence-modular variety V, then the set Con(M) of congruences of M is an integral complete l-groupoid (= icl-groupoid). For any morphism f:M→N of V, consider the map f•:Con(M)→Con(N), where, for each congruence ε
George Georgescu
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Pure morphisms of commutative rings are effective descent morphisms for modules – a new proof
Theory and Applications of Categories, 2000 The purpose of this paper is to give a new proof of the Joyal-Tierney theorem (unpublished), which asserts that a morphism \(f:R\rightarrow S\) of commutative rings is an effective descent morphism for modules if and only if \(f\) is pure as a morphism of \(R\)-modules.
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On some properties of puremorphisms of commutative rings
Theory and Applications of Categories, 2002 Summary: We prove that pure morphisms of commutative rings are effective \(\mathcal A\)-descent morphisms where \(\mathcal A\) is a \((\mathcal{COMMUTATIVE\;RINGS})^{\text{op}}\)-indexed category given by (i) finitely generated modules, or (ii) flat modules, or (iii) finitely generated flat modules, or (iv) finitely generated projective modules.
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Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
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