Results 1 to 10 of about 1,830 (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

Pure injective and absolutely pure sheaves [PDF]

, 2015
We study two notions of purity in categories of sheaves: the categorical and the geometric. It is shown that pure injective envelopes exist in both cases under very general assumptions on the scheme.
Enochs, Edgar, Estrada, Sergio, Odabaşı, Sinem   +2 more
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

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

Comparison of symbolic and ordinary powers of ideals [PDF]

, 2002
In this paper we generalize the theorem of Ein-Lazarsfeld-Smith (concerning the behavior of symbolic powers of prime ideals in regular rings finitely generated over a field of characteristic 0) to arbitrary regular rings containing a field.
Hochster, Melvin, Huneke, Craig
core   +3 more sources

Some homological properties of skew PBW extensions [PDF]

, 2013
We prove that if R is a left Noetherian and left regular ring then the same is true for any bijective skew PBW extension A of R. From this we get Serre's Theorem for such extensions.
Armando Reyes, Constructiva Sac, Oswaldo Lezama   +2 more
core   +1 more source

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

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

Gluing of abelian categories and differential operators on the basic affine space

, 2001
The notion of gluing of abelian categories was introduced by Kazhdan and Laumon in an attempt of another geometric construction of representations of finite Chevalley groups; the approach was later developed by Polishchuk and Braverman.
Bezrukavnikov, Roman, Braverman, Alexander, Positselskii, Leonid   +2 more
core   +1 more source