Results 1 to 10 of about 1,835 (58)

Finite injective dimension over rings with Noetherian cohomology [PDF]

, 2011
We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have finite injective dimension.
Burke, Jesse
core   +1 more source

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger, A Leroy, A Loewy, AW Chatters, AW Chatters, D Bachman, D Haile, D Lissner, D Smertnig, DA Jordan, DR Estes, DR Estes, DR Estes, DR Estes, E Hallouin, E Jespers, E Jespers, E Landau, G Grätzer, G Hegedüs, G Hegedüs, GQ Abbasi, H Cohn, H Fitting, H Marubayashi, H-H Brungs, I Gelfand, J Bergen, J Delenclos, J Towber, JH Conway, KR Goodearl, L Bruyn Le, M Chamarie, M-F Vignéras, MP Gilchrist, NR Baeth, NR Baeth, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, TY Lam, V Retakh   +56 more
core   +1 more source

Class and rank of differential modules [PDF]

, 2006
A differential module is a module equipped with a square-zero endomorphism. This structure underpins complexes of modules over rings, as well as differential graded modules over graded rings.
C. Allday, D. Buchsbaum, D. Eisenbud, E.G. Evans, G. Carlsson, G. Carlsson, G. Carlsson, H. Cartan, L.L. Avramov, Luchezar L. Avramov, M. Hochster, M. Hochster, M. Hochster, P. Roberts, P. Roberts, P.M. Cohn, R. Hartshorne, Ragnar-Olaf Buchweitz, S. Halperin, Srikanth Iyengar, W. Bruns, W.G. Dwyer   +21 more
core   +3 more sources

Specialization orders on atom spectra of Grothendieck categories [PDF]

, 2015
We introduce systematic methods to construct Grothendieck categories from colored quivers and develop a theory of the specialization orders on the atom spectra of Grothendieck categories.
Kanda, Ryo
core   +1 more source

Noetherian properties of Fargues-Fontaine curves [PDF]

, 2015
We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic p, which arise in p-adic Hodge theory as certain completed localizations of the ring of Witt vectors, are strongly noetherian Banach rings; that is,
Kedlaya, Kiran S.
core   +1 more source

Noetherian local rings with Buchsbaum associated graded rings

Journal of Algebra, 1984
Soient A un anneau local noethérien d'idéal maximal m et \(d=\dim A\), \(K=A/m\). On dit que A est un anneau de Buchsbaum si pour tout idéal q engendré par un système de paramètres de A la différence \(I(A)=\ell_ A(A/q)-e_ A(q)\) ne dépend pas de q, où \(\ell_ A(A/q)\) est la longueur du A-module A/q et \(e_ A(q)\) est la multiplicité de A relativement
openaire   +1 more source

A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings

Tohoku Mathematical Journal, 1996
Let \(A\) be a homomorphic image of a regular local ring and \(r= \dim A\). Let \(A_*(Z)_{\mathbb{Q}}= \bigoplus_{i=0}^rA_i(Z)_{\mathbb{Q}}\) be the Chow group of the affine scheme \(Z= \text{Spec}(A)\) with rational coefficients and \(K_0(Z)\) the Grothendieck group of finitely generated \(A\)-modules.
openaire   +2 more sources

Counting submodules of a module over a noetherian commutative ring

, 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 ...
Cornulier, Yves
core   +3 more sources

Some remarks on Mathieu subspaces over associative algebras

, 2016
In this paper, we generalize some of the results of [9], and add some new results. Furthermore, we take a closer look at strongly simple algebras, which are introduced in [9].Comment: 27 pages; result numbers in section 2 and the end of section 3 have ...
de Bondt, Michiel
core   +1 more source

Constructing modules with prescribed cohomological support [PDF]

, 2007
A cohomological support, Supp_A(M), is defined for finitely generated modules M over an left noetherian ring R, with respect to a ring A of central cohomology operations on the derived category of R-modules.
Avramov, Luchezar L., Iyengar, Srikanth B.   +1 more
core   +2 more sources