Results 71 to 80 of about 111 (101)

Dual continuous modules over commutative noetherian rings

Communications in Algebra, 1988
Bruno J Müller
exaly   +2 more sources

t-Structures and cotilting modules over commutative noetherian rings

Mathematische Zeitschrift, 2014
Let \(R\) be a commutative noetherian ring. The authors present a unified approach to several recent classification results over \(R\): -- the classification of compactly generated \(t\)-structures in the unbounded derived category \(\mathcal{D}(R)\) given by \textit{L. Alonso Tarrío} et al. [J. Algebra 324, No.
ANGELERI, LIDIA, M. Saorin
openaire   +3 more sources

Commutative Noetherian local rings whose ideals are direct sums of cyclic modules

Journal of Algebra, 2011
This paper is about to find which properties of the (sub-) category of \(R\)-modules reflect the structure of \(R\), where throughout \(R\) is a commutative ring with unit and any module is unital. For a recent work in the same direction see [\textit{R. Takahashi}, ``When is there a nontrivial extension-closed subcategory?'', J. Algebra 331, No. 1, 388-
M Behboodi, A Ghorbani, A Moradzadeh-Dehkordi   +2 more
exaly   +2 more sources

SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

Journal of Algebra and Its Applications, 2008
We investigate width and Krull–Gabriel dimension over commutative Noetherian rings which are "tame" according to the Klingler–Levy analysis in [4–6], in particular over Dedekind-like rings and their homomorphic images. We show that both are undefined in most cases.
PUNINSKAYA V., TOFFALORI, Carlo
openaire   +3 more sources

Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian

Communications in Algebra, 2016
We introduce and study the concept of dual perfect dimension which is a Krull-like dimension extension of the concept of acc on finitely generated submodules. We observe some basic facts for modules with this dimension, which are similar to the basic properties of modules with Noetherian dimension.
O A S Karamzadeh
exaly   +2 more sources

Gorenstein dimension and torsion of modules over commutative noetherian rings

Communications in Algebra, 2000
exaly   +2 more sources

Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)

Mathematische Annalen, 2007
Let \(A\) be a commutative noetherian ring. The support of a complex of \(A\)-modules is compared to the support of its cohomology. As a consequence the author classifies the full subcategories of \(A\)-modules that are thick (i.e. closed under taking kernels, cokernels and extensions) and closed under taking arbitrary direct sums.
Henning Krause
exaly   +4 more sources

Big pure projective modules over commutative noetherian rings: Comparison with the completion

Forum Mathematicum
Abstract A module over a ring R is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of pure projective modules over commutative noetherian rings. In particular, for a fixed finitely presented module M, we consider
Dolors Herbera, Pavel Příhoda, Roger Wiegand   +2 more
exaly   +4 more sources

UA-properties of modules over commutative Noetherian rings

Russian Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyubimtsev, Oleg V., Chistyakov, D. S.
openaire   +2 more sources

Forcing linearity numbers of semicyclic modules over commutative Noetherian rings

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 2003
Given a module \(V\) over a commutative ring \(R\), a function \(f:V\rightarrow V\) is said to be ``homogeneous'' if \(f(rv) = rf(v)\) for all \(r\in R\) and all \(v\in V\) and \(M_R(V)\) denotes the set of all such functions. Clearly \(M_R(V)\) is contained in \(\text{End}_R(V)\), the set of module endomorphisms on \(V\). This paper looks at how close
exaly   +3 more sources