Results 71 to 80 of about 21,877 (248)

Derived categories of representations of small categories over commutative noetherian rings

, 2015
We study the derived categories of small categories over commutative noetherian rings. Our main result is a parametrization of the localizing subcategories in terms of the spectrum of the ring and the localizing subcategories over residue fields.
Antieau, Benjamin, Stevenson, Greg
core   +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, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

About j{\mathscr{j}}-Noetherian rings

Open Mathematics
Let RR be a commutative ring with identity and j{\mathscr{j}} an ideal of RR. An ideal II of RR is said to be a j{\mathscr{j}}-ideal if I⊈jI\hspace{0.33em} \nsubseteq \hspace{0.33em}{\mathscr{j}}.
Alhazmy Khaled, Almahdi Fuad Ali Ahmed, Mahdou Najib, Oubouhou El Houssaine   +3 more
doaj   +1 more source

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

Conditions ($S_q$) and ($G_q$) on graded rings

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2006
Let be a commutative noetherian gradedring. We study Serre's condition and Ischebeck-Auslander's conditionin the graduate case. Let be an integer, we characterize the -torsion freeness of graded modules on a -ring.
La Barbiera, M
doaj   +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
doaj   +1 more source

Periodic points of rational functions over finite fields

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract For q$q$ a prime power and ϕ$\phi$ a rational function with coefficients in Fq$\mathbb {F}_q$, let p(q,ϕ)$p(q,\phi)$ be the proportion of P1Fq$\mathbb {P}^1\left(\mathbb {F}_q\right)$ that is periodic with respect to ϕ$\phi$. Furthermore, if d$d$ is a positive integer, let Qd$Q_d$ be the set of prime powers coprime to d!$d!$ and let P(d,q ...
Derek Garton
wiley   +1 more source

The Relationships between Relatively Cancellation Modules and Certain Types of Modules

مجلة بغداد للعلوم, 2011
Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.
Baghdad Science Journal
doaj   +1 more source

Classifying thick subcategories over a Koszul complex via the curved BGG correspondence

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract In this work, we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously recovers a theorem of Stevenson when the list of elements is a regular sequence and the classification of thick subcategories for an exterior algebra over a field ...
Jian Liu, Josh Pollitz
wiley   +1 more source

Constructive Aspects of Noetherian Rings [PDF]

Proceedings of the American Mathematical Society, 1974
If R R is a discrete Noetherian ring, in the sense of Tennenbaum, such that finitely generated ideals are finitely related and detachable, then so is R [ x ] R[x] . This shows that a large class of rings enjoy the property that finitely generated ideals are detachable, and that ...
openaire   +2 more sources