Results 21 to 30 of about 557 (139)

Classifying subcategories of modules over a commutative noetherian ring [PDF]

Journal of the London Mathematical Society, 2008
Let R be a quotient ring of a commutative coherent regular ring by a finitely generated ideal. Hovey gave a bijection between the set of coherent subcategories of the category of finitely presented R-modules and the set of thick subcategories of the derived category of perfect R-complexes.
openaire   +2 more sources

Jacobson's conjecture and modules over fully bounded Noetherian rings [PDF]

, 1974
The object of this paper is to investigate finitely generated modules and injective modules over fully bounded Noetherian rings. Our main results on f.g.
Jategaonkar, Arun Vinayak
core   +1 more source

Local to global principles for generation time over commutative noetherian rings [PDF]

, 2021
Letz JC. Local to global principles for generation time over commutative noetherian rings. Homology, Homotopy and Applications. 2021;23(2):165-182.In the derived category of modules over a commutative noetherian ring a complex G is said to generate a ...
Letz, Janina Carmen ; https://orcid.org/
core   +1 more source

ON THE PRIME SPECTRUM OF A MODULE OVER A COMMUTATIVE NOETHERIAN RING

Honam Mathematical Journal, 2007
Let R be a commutative ring and let M be an R-module. Let X = Spec(M) be the prime spectrum of M with Zariski topology. Our main purpose in this paper is to specify the topological dimensions of X, where X is a Noetherian topological space, and compare them with those of topological dimensions of (M).
H. Ansari-Toroghy, R. Sarmazdeh-Ovlyaee
openaire   +2 more sources

Noetherian PI Rings not Module-Finite Over any Commutative Subring [PDF]

Proceedings of the American Mathematical Society, 1982
We construct a ring R R of 3 × 3 3 \times 3 matrices over k [ x , y , z ] k[x,y,z] which is prime, affine, Noetherian, and PI, but not finitely generated as a module nor integral over any commutative subring.
openaire   +1 more source

When are the classes of Gorenstein modules (co)tilting?

Comptes Rendus. Mathématique
For the class of Gorenstein projective (resp. injective and flat) modules, we investigate and settle the questions when the middle class is tilting and the other ones are cotilting. The applications have in three directions.
Wang, Junpeng, Liu, Zhongkui, Zhao, Renyu   +2 more
doaj   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Modules Over Hereditary Noetherian Prime Rings [PDF]

, 1975
Quasi-injective and quasi-projective modules over hereditary noetherian prime rings ((hnp)-rings) were studied in [17]. In the present paper we give some applications of the results established in [17].
Surjeet Singh
core   +1 more source

Counting submodules of a module over a noetherian commutative ring

Journal of Algebra, 2019
We count the number of submodules of an arbitrary module over a countable noetherian commutative ring. We give, along the way, a structural description of meager modules, which are defined as those that do not have the square of a simple module as subquotient.
openaire   +4 more sources

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source