Results 61 to 70 of about 263 (184)

On hereditary rings and NoetherianV-rings [PDF]

Pacific Journal of Mathematics, 1982
The purpose of this paper is to examine conditions under which (1) a left noetherian left F-ring is left hereditary and (2) a left noetherian left F-ring is a two sided noetherian F-ring. For (1), left noetherian left F-rings which satisfy the restricted left minimum (RLM) condition are examined.
openaire   +3 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

Bi-artinian noetherian rings [PDF]

Glasgow Mathematical Journal, 2001
A noetherian ring R satisfies the descending chain condition on two-sided ideals (“is bi-artinian”) if and only if, for each prime P ∈ spec(R), R/P has a unique minimal ideal (necessarily idempotent and left-right essential in R/P). The analogous statement for merely right noetherian rings is false, although our proof does not use the full ...
openaire   +2 more sources

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

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

Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes)

Zhejiang Daxue xuebao. Lixue ban, 2019
Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes.
ZHANGChunxia(张春霞), QUEChunyue(阙春月)   +1 more
doaj   +1 more source

Weakly special threefolds and nondensity of rational points

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau   +2 more
wiley   +1 more source

FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES [PDF]

Romanian Journal of Mathematics and Computer Science, 2015
Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.
M. H. BIJAN-ZADEH,, S. GHADERI
doaj  

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source

When Is a Simple Ring Noetherian?

Journal of Algebra, 1996
A module is called a \(CS\)-module if every submodule is essential in a direct summand. It is proved that a simple ring \(R\) is right Noetherian provided every cyclic singular right \(R\)-module is \(CS\). In addition, a simple ring \(R\) is right hereditary right Noetherian provided every proper cyclic right \(R\)-module is quasi-injective.
Van Huynh, Dinh, Jain, S.K., López-Permouth, S.R.   +2 more
openaire   +1 more source