Results 81 to 90 of about 1,430 (227)
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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Goldie absolute direct summand rings and modules [PDF]
, 2018 In the present paper, we introduce and study Goldie ADS modules and rings, which subsume two generalizations of Goldie extending modules due to Akalan et al. [3] and ADS-modules due to Alahmadi et al. [7]. A module M will be called a Goldie ADS module if
ȘAHINKAYA, Serap, CONG QUYNH, Truong
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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On isomorphism of minimal direct summands
Hokkaido Mathematical Journal, 1994 A subgroup \(A\) of a \(p\)-primary abelian group \(G\) is purifiable if there is a minimal pure subgroup of \(G\) containing \(A\). A given subgroup may or may not possess a pure hull. The paper is concerned with generalizations of ``purifiable''. A subgroup \(A\) is almost-dense in \(G\) if every pure subgroup containing \(A\) is dense in \(G\) (in ...
openaire +3 more sources
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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Direct-sum cancellation of submodule systems [PDF]
, 1991 We consider a category whose objects consist of a module together with a finite family of submodules, thus extending the scope of elementary divisor theory.
Levy, Lawrence S., Lawrence S. Levy
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مجلة بغداد للعلوم, 2011 There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse.
Baghdad Science Journal
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
, 2020 Tasdemir, Ozgur/0000-0003-2500-8255WOS: 000492108100001We say an R-module M has the generalized summand sum property (GSSP), if the sum of any two direct summands is isomorphic to a direct summand of M.
Karabacak, Fatih, Tasdemir, Ozgur
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Zeros of polynomials in derivatives of automorphic L$L$‐functions
Mathematika, Volume 72, Issue 4, October 2026.Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source