Results 101 to 110 of about 783 (126)

UA-properties of modules over commutative Noetherian rings

Russian Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D S Chistyakov, O V Lyubimtsev
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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

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
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Krull Dimension of Injective Modules Over Commutative Noetherian Rings

Canadian Mathematical Bulletin, 2005
AbstractLet R be a commutative Noetherian integral domain with field of fractions Q. Generalizing a forty-year-old theorem of E. Matlis, we prove that the R-module Q/R (or Q) has Krull dimension if and only if R is semilocal and one-dimensional. Moreover, if X is an injective module over a commutative Noetherian ring such that X has Krull dimension ...
Patrick F. Smith, Smith, P.F.
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Automorphism groups of Noetherian modules over commutative rings

Archiv Der Mathematik, 1976
B A F Wehrfritz
exaly   +3 more sources

Dual continuous modules over commutative noetherian rings

Communications in Algebra, 1988
Saad H. Mohamed, Bruno J. Müller
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Gorenstein dimension and torsion of modules over commutative noetherian rings

Communications in Algebra, 2000
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
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Local Duality for Modules over Noetherian Commutative Rings

Journal of Mathematical Sciences, 2002
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INTEGRAL CLOSURES OF IDEALS RELATIVE TO INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

The Quarterly Journal of Mathematics, 1991
In this article, motivated by the work of Northcott-Rees, Brodmann and Ratliff concerning the asymptotic behaviour (of integral closures) of powers of a fixed ideal of a Noetherian ring, the authors show the following: Let \({\mathfrak a}\) denote an ideal of a Noetherian ring \(A\) and \(E\) an injective \(A\)-module.
Toroghy, H. Ansari, Sharp, R. Y.
openaire   +2 more sources