Results 11 to 20 of about 252 (184)
AN EXAMPLE IN NOETHERIAN RINGS. [PDF]
Proc Natl Acad Sci U S A, 1965 Small LW.
europepmc +4 more sources
Quaestiones Mathematicae, 2023 Let $R$ be a ring and $S$ a multiplicative subset of $R$. Then $R$ is called a uniformly $S$-Noetherian ($u$-$S$-Noetherian for abbreviation) ring provided there exists an element $s\in S$ such that for any ideal $I$ of $R$, $sI \subseteq K$ for some finitely generated sub-ideal $K$ of $I$.
Chen, Mingzhao +4 more
openaire +3 more sources
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
A COUNTEREXAMPLE IN NOETHERIAN RINGS. [PDF]
Proc Natl Acad Sci U S A, 1965 Herstein IN.
europepmc +5 more sources
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
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
Arnold, J. T., Boisen, M. B. jun.
openaire +1 more source
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 +2 more
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
On stable noetherian rings [PDF]
Transactions of the American Mathematical Society, 1975 A ring R is called stable if every localizing subcategory of R M _R{\text {M}} is closed under taking injective envelopes. In this paper the stable noetherian rings are characterized in terms of the idempotent kernel functors of R
openaire +1 more source
Locally Noetherian Commutative Rings [PDF]
Transactions of the American Mathematical Society, 1971 This paper centers around the theorem that a commutative ring R R is noetherian if every R P , P {R_P},P prime, is noetherian and every finitely generated ideal of R R has only finitely many weak-Bourbaki associated primes. A more
Heinzer, William, Ohm, Jack
openaire +2 more sources