Results 131 to 140 of about 91,509 (288)
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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Finite Commutative Chain Rings
Finite Fields and Their Applications, 2001 A commutative ring with unit is called a chain ring if all its ideals form a chain under inclusion. All finite chain rings can be obtained in the following way: Let \(p\) be a prime, \(n,r>0\), \(f\in \mathbb{Z}_{p^n}[X]\) a monic polynomial, \(\deg(f)=r\) whose image in \(\mathbb{Z}_p[X]\) is irreducible and let \(\text{GR} (p^n,r): =\mathbb{Z}_{p^n ...
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
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Holographic Einstein rings of non-commutative black holes
European Physical Journal C: Particles and FieldsWith the help of AdS/CFT correspondence, we derive the desired response function of QFT on the boundary of the non-commutative black hole. Using the virtual optical system with a convex lens, we obtain the Einstein rings of the black hole from the ...
Xin-Yun Hu +3 more
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MacWilliams Type identities for $m$-spotty Rosenbloom-Tsfasman weight enumerators over finite commutative Frobenius rings [PDF]
, 2013 Minjia Shi
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When do pseudo‐Gorenstein rings become Gorenstein?
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
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Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
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Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
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