Results 31 to 40 of about 30,075 (226)

Extensions of rational modules

International Journal of Mathematics and Mathematical Sciences, 2003
For a coalgebra C, the rational functor Rat (−):ℳC∗→ℳC∗ is a left exact preradical whose associated linear topology is the family ℱC, consisting of all closed and cofinite right ideals of C∗.
J. Cuadra
doaj   +1 more source

Graded modules with Noetherian graded second spectrum

AIMS Mathematics, 2023
Let $ R $ be a $ G $ graded commutative ring and $ M $ be a $ G $-graded $ R $-module. The set of all graded second submodules of $ M $ is denoted by $ Spec_G^s(M), $ and it is called the graded second spectrum of $ M $.
Saif Salam , Khaldoun Al-Zoubi
doaj   +1 more source

Rank in Noetherian rings

Journal of Algebra, 1975
Evan Houston, Stephen McAdam
openalex   +3 more sources

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

A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

Applied General Topology, 2015
Suppose $F$ is a totally ordered field equipped with its order topology and $X$ a completely $F$-regular topological space. Suppose $\mathcal{P}$ is an ideal of closed sets in $X$ and $X$ is locally-$\mathcal{P}$.
Sudip Kumar Acharyya, Kshitish Chandra Chattopadhyay, Pritam Rooj   +2 more
doaj   +1 more source

Some results on top local cohomology modules with respect to a pair of ideals [PDF]

Mathematica Bohemica, 2020
Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies.
Saeed Jahandoust, Reza Naghipour
doaj   +1 more source

Abnormalities in Noetherian Rings [PDF]

Proceedings of the American Mathematical Society, 1979
If P ⊆ Q P \subseteq Q are prime ideals in some ring R and if rank Q = rank ( Q / P ) + rank P + k Q = {\text {rank}}(Q/P) + {\text {rank}}\;P + k , then
J. T. Arnold, Monte B. Boisen
openaire   +1 more source

Hubungan antara Daerah Ideal Utama, Daerah Faktorisasi Tunggal dan Gelanggang Noetherian

MUST: Journal of Mathematics Education, Science and Technology, 2019
Setiap daerah ideal utama merupakan daerah faktorisasi tunggal, namun tidak berlaku sebaliknya. Ketidakberlakuan hubungan sebaliknya dari daerah faktorisasi tunggal dan daerah ideal utama dapat ditunjukkan dengan adanya contoh penyangkal.
Eka Susilowati
doaj   +1 more source

Rings Over Which Cyclics are Direct Sums of Projective and CS or Noetherian [PDF]

, 2009
R is called a right WV -ring if each simple right R-module is injective relative to proper cyclics. If R is a right WV -ring, then R is right uniform or a right V -ring.
A. Leroy, C. J. Holston, Dedicated Patrick, F. Smith, S. K. Jain   +4 more
core   +4 more sources

Noetherian Semigroup Algebras

Journal of Algebra, 1999
AbstractIt is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is right Noetherian and has finite Gelfand–Kirillov dimension or S is a Malcev nilpotent semigroup. If, furthermore, S is a submonoid of a finitely generated nilpotent-by-finite group G, then K[S] is right Noetherian if and only if K[S] is left Noetherian ...
Jespers, Eric, Okninski, J.
openaire   +3 more sources