Results 61 to 70 of about 557 (139)

Hereditary Noetherian rings [PDF]

, 1974
Given an Hereditary Noetherian ring, its finitely generated torsion modules are subject to a specified contravariant duality functor, interchanging left and right modules.
Zaks, Abraham
core   +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

The relative Hodge–Tate spectral sequence for rigid analytic spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley   +1 more source

Relative homological rings and modules [PDF]

, 2023
The study of rings and modules with homological criteria is a cornerstone of commutative algebra. Let $R$ be a commutative Noetherian ring with identity (not necessarily local) and $\frak a$ a proper ideal of $R$.
Divaani-Aazar, Kamran, Rahimi, Ahad, Pourghobadian, Parisa   +2 more
core   +1 more source

A commutative version of the group ring [PDF]

We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
core  

CF-modules over commutative rings [PDF]

, 2018
summary:Let $R$ be a commutative ring with unit. We give some criterions for determining when a direct sum of two CF-modules over $R$ is a CF-module.
Najim, Ahmed, Charkani, Mohammed Elhassani   +1 more
core   +1 more source

Commutative Coherent Rings [PDF]

, 1974
Those modules over a commutative Noetherian ring which are finitely generated (and therefore automatically finitely presented) have especially pleasant properties. For example, any such module has a finitely generated projective resolution.
McDowell, Paul Kenneth
core  

Hereditary noetherian prime rings and idealizers [PDF]

, 2011
The direct sum behaviour of its projective modules is a fundamental property of any ring. Hereditary Noetherian prime rings are perhaps the only noncommutative Noetherian rings for which this direct sum behaviour (for both finitely and infinitely ...
Robson, J Chris, Lawrence Levy, Levy, Lawrence S, J. Robson   +3 more
core   +1 more source

COTORSION MODULES OVER NOETHERIAN HEREDITARY RINGS [PDF]

, 2014
Cotorsion abelian groups form an important class of abelian groups for which nice structure theorems are known. They have been discussed at length by Harrison [7], Nunke [13] and the author [3].
L. Fuchs
core  

Finite injective dimension over rings with Noetherian cohomology [PDF]

, 2018
We study rings that have Noetherian cohomology over a ring of cohomology operators. Examples of such rings include commutative complete intersection rings and finite-dimensional cocommutative Hopf algebras. The main result is a criterion for a complex of
Burke, Jesse
core   +1 more source