Results 31 to 40 of about 709,548 (225)

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

FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2020
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules.
J. Azami
doaj   +1 more source

Some results on PIT and GPIT theorems [PDF]

Journal of Hyperstructures, 2016
In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.
M. Ebrahimpour
doaj   +1 more source

FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]

Journal of Algebraic Systems, 2023
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
F. Dehghani-Zadeh, A.R. Hajikarimi
doaj   +1 more source

A theorem on Noetherian hereditary rings [PDF]

Pacific Journal of Mathematics, 1973
It is shown (Theorem 2) that a semi-prime, left noetherian, left hereditary, two-sided Goldie ring is right noetherian if and only if the right module (Q/R) φ R contains a copy of every simple right iέ-module, where Q is the classical quotient ring of R.
Camillo, Victor P., Cozzens, J.
openaire   +3 more sources

Criteria for a Ring to have aLeft Noetherian Largest Left Quotient Ring [PDF]

, 2017
Criteria are given for a ring to have a left Noetherian largest left quotient ring. It is proved that each such a ring has only finitely many maximal left denominator sets. An explicit description of them is given.
Bavula, V.V., V. V. Bavula
core   +1 more source

Pseudo-Noetherian Rings [PDF]

Canadian Mathematical Bulletin, 1976
In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the
openaire   +2 more sources

Pythagorean fuzzy Artinian and Noetherian ring [PDF]

Computational Algorithms and Numerical Dimensions
The Pythagorean fuzzy set is acknowledged for its proficiency in managing uncertainty across multifarious domains. In this investigation, we advance the Pythagorean fuzzy Artinian ring as an evolutionary progression from the conventional fuzzy ring ...
Meryem Fakhraoui, Idris Bakhadach, Sofyane Achik, Hamid Sadiki   +3 more
doaj   +1 more source

Co-Cohen-Macaulay Modules and Local Cohomology

Journal of Mathematics, 2013
Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
doaj   +1 more source

Trivial Extension of π-Regular Rings [PDF]

Engineering and Technology Journal, 2016
In this paper we investigate if it is possible that the trivial extension ring T(R,R) inherit the properties of the ring R and present the relationship between the trivial extension T(R,M) of a ring R by an R-module M and theπ-regularity of Rby taking ...
Areej M. Abduldaim
doaj   +1 more source