Results 71 to 80 of about 600,300 (198)
, 2021 Let $(R,\mathfrak{m})$ be a commutative local noetherian ring. For an artinian $R$-module $M$, we show the equality $$\mathrm{cosupp}_RM=\mathrm{Cosupp}_RM$$ using the semi-discrete linearly compactness of $R$-module $\mathrm{Hom}_R(R_\mathfrak{p},M)$ where $\mathfrak{p}$ is a prime ideal of $R$.
openaire +2 more sources
Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
b‐Filter Grade of an Ideal a for Triangulated Categories
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang +4 more
wiley +1 more source
The Z* functor for rings whose primitive images are Artinian
, 2002 Given a ring R, we investigate a subfunctor Z* of the identity functor on the category of all right R-modules which is defined by Z* (M) = {m is an element of M: mR is a small module}, for any R-module M.
Smith, PF +4 more
core +1 more source
Gorenstein Injective Envelopes of Artinian Modules [PDF]
Communications in Algebra, 2014 Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope which is special and Artinian. This, in particular, yields that over a Gorenstein ring any Artinian module possesses a Gorenstein injective envelope which is special and ...
Babaei, Massoumeh Nikkhah +1 more
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Neutrosophic Ideals in Artinian Rings and Their Application to AI‐Driven Uncertainty Classification
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines the behaviour of neutrosophic ideals within the framework of Artinian rings. A key finding shows that a ring with unity is left (or right) Artinian if and only if every neutrosophic left (or right) ideal takes only finitely many possible values.
Amr Elrawy +4 more
wiley +1 more source
Example of an Injective Module which is Not Nice
, 1974 In [1] Lambek calls the injective R-module I nice if every torsionfree factor module of the ring of quotients Q of R with respect to lis divisible. If lis nice then g is a dense subring of the bicommutator BicRI of I with respect to the finite topology ...
Gerhard O. Michler
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A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
Rings over which every module is an I*
, 2020 © 2017, Allerton Press, Inc. We obtain a description of semi-artinian rings over which every module is an I* 0 -module. We also describe semi-artinian rings over which every module is a direct sum of a projective module and a V ...
Abyzov A.
core
Non-parallel graph of submodules of a module [PDF]
مدلسازی پیشرفته ریاضیA non-parallel submodules graph of M, denoted by G ∦ (M), is an undirected simple graph whose vertices are in one-to-one correspondence with all non-zero proper submodules of M and two distinct vertices are adjacent if and only if they are not parallel ...
نسرین شیرعلی +1 more
doaj +1 more source