Results 31 to 40 of about 557 (139)
Structure of Some Noetherian Injective Modules [PDF]
, 1980 The main object of this paper is to study when infective noetherian modules are artinian. This question was first raised by J. Fisher and an example of an injective noetherian module which is not artinian is given in [9]. However, it is shown in [4] that
B. Sarath
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Secondary representations for injective modules over commutative Noetherian rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1976 There have been several recent accounts of a theory dual to the well-known theory of primary decomposition for modules over a (non-trivial) commutative ring A with identity: see (4), (2) and (9). Here we shall follow Macdonald's terminology from (4) and refer to this dual theory as “ secondary representation theory ”.
openaire +2 more sources
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
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Poincaré duality in Hochschild (co)homology [PDF]
, 2006 These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms ...
Kraehmer, U.
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, 1976 In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings.
Kenneth P. McDowell
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Classes of modules closed under projective covers
Open MathematicsIn this work, we study some classes of modules closed under submodules, quotients, and projective covers, even if the left projective cover of an arbitrary left module not always exists. We obtain a characterization of artinian principal ideal rings when
Cejudo-Castilla César +2 more
doaj +1 more source
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
Injective modules over commutative noetherian rings [PDF]
, 1974 This thesis examines the structure of injective modules over commutative noetherian rings. The author shows that any injective module over a commutative noetherian ring can be written as a direct sum of indecomposable injective modules, where each ...
Staton, James Brooks +1 more
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Towards the decidability of the theory of modules over finite commutative rings [PDF]
, 2009 On the basis of the Klingler-Levy classification of finitely generated modules over commutative noetherian rings we approach the old problem of classifying finite commutative rings R with the decidable theory of modules.
PUNINSKI G. +3 more
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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
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