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Big projective modules over noetherian semilocal rings.
We describe all the monoids that can be realized as monoids of isoclasses of countably generated projective modules over a noetherian semilocal ring....
BA - Obecná matematika
- 2010 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS
We classify all tilting and cotilting classes over commutative noetherian rings in terms of descending sequences of specialization closed subsets of the Zariski spectrum. Consequently, all resolving subcategories of finitely generated mo...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A version of the Baer splitting problem for noetherian rings
We call a module M over a commutative noetherian ring R quasi-Baer in case Ext (M,T) = 0 for each locally artinian (= semiartinian) module T. We prove that all quasi--Baer modules are projective provided that R has...
BA - Obecná matematika
- 2008 •
- C
Rok uplatnění
C - Kapitola v odborné knize
COMMUTATIVE TALL RINGS
A ring is right tall if every non-noetherian right module contains a proper non-noetherian submodule. We prove a ring-theoretical criterion of tall commutative rings. Besides other examples which illustrate limits of proven...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Cotilting modules over commutative Noetherian rings
Recently, tilting and cotilting classes over commutative Noetherian rings have-cotilting module inducing C by an iteration of injective precovers. A further refinement of the construction yields the unique minimal n-cotilting mo...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Unbounded derived categories of small and big modules: Is the natural functor fully faithful?
finitely generated modules over a left noetherian ring R to the unbounded derived category of all modules. We answer the natural question whether this functor defines modules in two special cases. If R is a quasi-...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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MOD-RETRACTABLE RINGS
A right module M over a ring R is said to be retractable if Hom(R)(M, N)0-module if and only if M-R is retractable for every finite group G. The ring R is (finitely)mod-retractable if every (finitely generated) right R-module
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
GENERALIZED LATTICES OVER ONE-DIMENSIONAL NOETHERIAN DOMAINS
We study direct sum decompositions of pure projective torsion free modules over one-dimensional commutative noetherian domains. Drawing inspiration from the representation theory of orders in separable algebras, we study when every ...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Colocalization and cotilting for commutative noetherian rings
For a commutative noetherian ring R, we investigate relations between tilting and cotilting modules in Mod R and Mod R,, where in runs over the maximal spectrum of R-cotilting R-modules C and (equivalence classes of) compat...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Very flat, locally very flat, and contraadjusted modules
and approximation properties of these modules over commutative noetherian rings. Using an analogy between projective and flat Mittag-Leffler modules on one hand, and very fiat and locally very flat modules on the ...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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