Results 21 to 30 of about 1,037,579 (153)

On Strongly 𝝅-regular Modules

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
doaj   +1 more source

ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES [PDF]

open access: yesJournal of Algebraic Systems
Suppose that $\ab$ is an ideal of a given commutative Noetherian ring $R$ such that the $R$-modules $H^1_{\ab}(M)$ and $H^3_{\ab}(M)$ are $\ab$-cofinite, for every finitely generated $R$-modules $M$. In this paper, it is shown that the $R$-modules $H^i_{\
Gholamreza Pirmohammadi
doaj   +1 more source

Krull dimension in modal logic [PDF]

open access: yes, 2017
We develop the theory of Krull dimension for S4-algebras and Heyting algebras. This leads to the concept of modal Krull dimension for topological spaces.
van Mill, J.   +7 more
core   +2 more sources

Modules satisfying double chain condition on uncountably generated submodules [PDF]

open access: yesمدل‌سازی پیشرفته ریاضی
In this article, we study modules that satisfy the double infinite chain condition on uncountably generated submodules, briefly called u.c.g.-DICC modules.
مریم داودیان
doaj   +1 more source

On RG-spaces and the regularity degree

open access: yesApplied General Topology, 2006
We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points.
R. Raphael, R.G. Woods
doaj   +1 more source

Krull dimension in serial rings

open access: yes, 1989
The main result of this paper is that if a serial ring R has right Krull dimension α, then it also has left Krull dimension ...
Wright, Mary H
core   +1 more source

The Krull radical, k-primitive rings, and critical rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
We generalize results on the Krull radical, k-primitive rings, and critical rings from rings with identity to rings which do not necessarily contain identity.
Ralph Tucci
doaj   +1 more source

PRIME SERIAL RINGS WITH KRULL DIMENSION

open access: yes, 2020
A Characterization of Prime Serial rings with Krull dimention as rings with a unique maximum ideal. A description of the laltice of  deals and laltice submodules of a module over ring with Krull dimension is a direct sum of indecomposable ...
Jha , Dr. Manish Kumar
core   +1 more source

Finite lattices and large inductive dimension

open access: yesApplied General Topology
The Ordered Set Theory is a branch of Mathematics that studies partially ordered sets (usually posets) and lattices. The meaning of dimension is one of the main parts of this field. In particular, the covering dimension, the Krull dimension and the small
Dimitrios N. Georgiou   +3 more
doaj   +1 more source

Krull dimension for limit groups

open access: yes, 2012
We show that varieties defined over free groups have finite Krull dimension, answering a question of Z ...
Louder, L., Larsen Louder
core   +1 more source

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