Results 1 to 10 of about 2,667 (226)

On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +2 more sources

Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring

Fuzzy Information and Engineering, 2015
In this paper, we establish that the Lasker–Noether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ...
S. Kar, S. Purkait, B. Davvaz
doaj   +1 more source

A generalization of a theorem of Faith and Menal and applications

International Journal of Mathematics and Mathematical Sciences, 2000
In 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.
Kentaro Tsuda
doaj   +1 more source

On the annihilators of generalized local cohomology modules [PDF]

Journal of Mahani Mathematical Research
Let ${\frak{a}}$ be an ideal of Noetherian  ring $R$ and $M$, $N$ be two finitely generated  $R$-modules. In this paper, we obtain some results about  the annihilators of  top generalized local cohomology modules.
Shahram Rezaei
doaj   +1 more source

Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal [PDF]

Journal of Mahani Mathematical Research, 2017
Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian.
Esmaeil Rostami
doaj   +1 more source

Radicals in the class of compact right topological rings

Applied General Topology, 2014
We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.
Mihail Ursul, Adela Tripe
doaj   +1 more source

The Relationships between Relatively Cancellation Modules and Certain Types of Modules

مجلة بغداد للعلوم, 2011
Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.
Baghdad Science Journal
doaj   +1 more source

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj   +1 more source

FINITENESS PROPERTIES OF LOCALE COHOMOLOGY MODULES FOR (I;J)- MINIMAX MODULES [PDF]

Journal of Mahani Mathematical Research, 2018
. Let R be a commutative noetherian ring, I and J are two ideals of R. Inthis paper we introduce the concept of (I;J)- minimax R- module, and it is shown thatif M is an (I;J)- minimax R- module and t a non-negative integer such that HiI;J(M) is(I;J ...
Javad Tayyebi
doaj   +1 more source

On Noetherian rings with essential socle [PDF]

Journal of the Australian Mathematical Society, 2004
AbstractIt is shown that if R is a right Noetherian ring whose right socle is essential as a right ideal and is contained in the left socle, then R is right Artinian. This result may be viewed as a one-sided version of a result of Ginn and Moss on two-sided Noetherian rings with essential socle.
Chen, Jianlong, Ding, Nanqing, Yousif, Mohamed F.   +2 more
openaire   +2 more sources