Results 81 to 90 of about 600,300 (198)
Polarization and Gorenstein liaison
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
wiley +1 more source
On Artinian generalized local cohomology modules
, 2009 Let R be a commutative Noetherian ring with non-zero identity and a be a maximal ideal of R. An R-module M is called minimax if there is a finitely generated submodule N of M such that M/N is Artinian.
Kosan, MUHAMMET TAMER
core +1 more source
Artinianness of formal local cohomology modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 Summary: Let \(\mathfrak{a}\) be an ideal of Noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module of dimension \(d\). In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to \(\mathfrak{m}\).
openaire +1 more source
The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
Two examples of local Artinian rings
, 1989 We answer a question of D. A. Hill in the negative by providing two local artinian rings R R and S S such that R R is right serial but the left indecomposable injective R R -module is
Wei Min Xue
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On commutative rings whose maximal ideals are idempotent [PDF]
, 2019 summary:We prove that for a commutative ring $R$, every noetherian (artinian) $R$-module is quasi-injective if and only if every noetherian (artinian) $R$-module is quasi-projective if and only if the class of noetherian (artinian) $R$-modules is socle ...
Tribak, Rachid, Kourki, Farid
core +1 more source
Embeddings in Free Modules and Artinian Rings
Journal of Algebra, 1997 A ring \(R\) is said to be right FGF (right CF) if every finitely generated (respectively cyclic) right \(R\)-module embeds in a free \(R\)-module. This paper looks at the open question, known as the FGF problem, of whether a right FGF ring is quasi-Frobenius (QF). (If every right \(R\)-module embeds in a free module then it is well-known that \(R\) is
Gómez Pardo, José L. +1 more
openaire +2 more sources
GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
Artinian level modules of embedding dimension two
, 2006 We prove that a sequence of positive integers (h0,h1,…,hc) is the Hilbert function of an artinian level module of embedding dimension two if and only if hi−1−2hi+hi+1≤0 for all 0≤i≤c, where we assume that h−1=hc+1=0.
Söderberg, Jonas,
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Epis and monos which must be isos
International Journal of Mathematics and Mathematical Sciences, 1984 Orzech [1] has shown that every surjective endomorphism of a noetherian module is an isomorphism. Here we prove analogous results for injective endomorphisms of noetherian injective modules, and the duals of these results.
David J. Fieldhouse
doaj +1 more source