Results 61 to 70 of about 186 (173)

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

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
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

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

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

Subrings of I-rings and S-rings

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source

On the global dimension of Noetherian bi-amalgamated algebras along ideals

Journal of Taibah University for Science, 2017
Let f : A → B and g : A → C be two ring homomorphisms and let J and J′ be two ideals of B and C, respectively, such that f−1(J) = g−1(J′). The bi-amalgamation of A with (B, C) along (J, J′) with respect to (f, g) is the subring of B × C given by A⋈f,g(J ...
Mohammed Tamekkante, Khalid Louartiti
doaj   +1 more source