Results 71 to 80 of about 709,548 (225)
Certain Artinian Rings are Noetherian
, 1972 Throughout this paper the word “ring” will mean an associative ring which need not have an identity element. There are Artinian rings which are not Noetherian, for example C(p∞) with zero
Robert C. Shock
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals [PDF]
Journal of Hyperstructures, 2014 Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to ...
Sh. Payrovi, S. Karim
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, 1973 The Eakin-Nagata theorem says that if T T is a commutative Noetherian ring which is finitely generated as a module over a subring R R , then R R is also Noetherian.
Edward Formanek
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
On formal local homology modules [PDF]
Journal of Hyperstructures, 2015 Throughout R is a commutative Noetherian ring and a an ideal of R. In this paper we study formal homology modules of Artinian R-modules. We obtain an expression of the formal homology in terms of a certain local homology module.
M.H. Bijan-Zadeh
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On hereditary rings and NoetherianV-rings [PDF]
Pacific Journal of Mathematics, 1982 The purpose of this paper is to examine conditions under which (1) a left noetherian left F-ring is left hereditary and (2) a left noetherian left F-ring is a two sided noetherian F-ring. For (1), left noetherian left F-rings which satisfy the restricted left minimum (RLM) condition are examined.
openaire +3 more sources
A right PCI ring is right Noetherian
, 1979 C. Faith and J. Cozzens have shown that a ring, whose right proper cyclic modules are injective, is either semisimple or a simple, right semihereditary, right Ore V-domain. They have posed a question as to whether such a ring is right noetherian. In this
Robert F. Damiano
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On the finite generation of ideals in tensor triangular geometry
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
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Measuring birational derived splinters
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
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