Results 41 to 50 of about 1,293 (84)
Some results on the total zero-divisor graph of a commutative ring [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj +1 more source
Componentwise linearity of ideals arising from graphs [PDF]
, 2008 Let $G$ be a simple undirected graph on $n$ vertices. Francisco and Van Tuyl have shown that if $G$ is chordal, then $\bigcap_{\{x_i,x_j\}\in E_G} < x_i,x_j>$ is componentwise linear.
Emtander, E., Quinonez, V. Crispin
core +3 more sources
NOTE ON PSEUDO-VALUATION DOMAINS WHICH ARE NOT VALUATION DOMAINS
, 2014 In this article, we discuss the n-root closedness, root closedness, seminormality, S-root closedness, S-closedness, F -closedess of PVDs. A valuation domain, being integrally closed, is obviously root closed.
T. Shah, Waheed Ahmad Khan
semanticscholar +1 more source
On Soft Near‐Prime Int‐Ideals and Soft 1‐Absorbing Prime Int‐Ideals With Applications
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we aimed to introduce two different generalizations of the soft prime int‐ideal and clarify the relationships between the soft prime int‐ideal and the substructures of a ring. First, we explored new algebraic features of the soft prime int‐ideal.
İbrahim Halil Kanat +2 more
wiley +1 more source
On 2-Absorbing Primary Submodules of Modules over Commutative Rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 All rings are commutative with 1 ≠ 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing primary ideals of rings. Let M be an R-module. A proper submodule N of an
Mostafanasab Hojjat +3 more
doaj +1 more source
A short proof of a result of Katz and West
, 2019 We give a short proof of a result due to Katz and West: Let $R$ be a Noetherian ring and $I_1,\ldots,I_t$ ideals of $R$. Let $M$ and $N$ be finitely generated $R$-modules and $N' \subseteq N$ a submodule.
Ghosh, Dipankar, Puthenpurakal, Tony J.
core +1 more source
Symbolic powers of planar point configurations II
, 2015 We study initial sequences of various configurations of planar points. We answer several questions asked in our previous paper (Symbolic powers of planar point configurations), and we extend our considerations to the asymptotic setting of Waldschmidt ...
Dumnicki, Marcin +2 more
core +1 more source
On weakly classical 1-absorbing prime submodules
Open MathematicsIn this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module M over a commutative ring R having a nonzero identity. A proper submodule N of M is said to be a weakly classical 1-absorbing prime submodule, if for each m ∈
Yılmaz Zeynep +4 more
doaj +1 more source
Formal Fibers of Prime Ideals in Polynomial Rings [PDF]
, 2014 Let (R,m) be a Noetherian local domain of dimension n that is essentially finitely generated over a field and let R^ denote the m-adic completion of R.
Heinzer, William +2 more
core
On Pr\"ufer-like conditions [PDF]
, 2009 This paper deals with five extensions of the Pr\"ufer domain concept to commutative rings with zero divisors. We investigate the stability of these Pr\"ufer-like conditions under localization and homomorphic image.
Bakkari, Chahrazade
core