Results 21 to 30 of about 84 (84)
On the metric dimension of a total graph of non-zero annihilating ideals
Let R be a commutative ring with identity which is not an integral domain. An ideal I of a ring R is called an annihilating ideal if there exists r ∈ R − {0} such that Ir = (0). Visweswaran and H. D.
Abachi Nazi, Sahebi Shervin
doaj +1 more source
Nagata rings and directed unions of Artinian subrings
We investigate when a Nagata ring R(X) can be written as a directed union of Artinian subrings. For a family of zero‐dimensional rings {Rα} α∈A, we show that ∏α∈ARα(Xα) is not a directed sum of Artinian subrings.
D. Karim
wiley +1 more source
The GCD property and irreduciable quadratic polynomials
The proof of the following theorem is presented: If D is, respectively, a Krull domain, a Dedekind domain, or a Prüfer domain, then D is correspondingly a UFD, a PID, or a Bezout domain if and only if every irreducible quadratic polynomial in D[X] is a prime element.
Saroj Malik +2 more
wiley +1 more source
Fine‐scale reconstruction of pelagic fish migration by iso‐logging of eye lens
Abstract Understanding lifetime space use by pelagic animals is pivotal for ecology and fisheries management, but electronic tags are costly, labour‐intensive and rarely able to capture juvenile movement. We implemented an iso‐logging workflow that converts stable isotope chronologies in eye lenses into continuous migration tracks, and demonstrate its ...
Jun Matsubayashi +8 more
wiley +1 more source
On The Set-Theoretic Complete Intersection Property for the Edge Ideals of Whisker Graphs [PDF]
We show that the edge ideals of some whisker graphs are set-theoretic complete intersections.
Macchia, Antonio
core
Noetherian rings of composite generalized power series
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
Submodules Satisfying the Uniformly Classical S‐Primary Property
We define uniformly classical S‐primary submodules, where S is a multiplicatively closed subset. A submodule W of an H‐module E with (W:HE)∩S = ∅ is said to be a uniformly classical S‐primary submodule if ∃s ∈ S and k∈Z+ such that whenever ηγν ∈ W for η, γ ∈ H, ν ∈ E, then sην ∈ W or (sγ)kν ∈ W.
Osama A. Naji +4 more
wiley +1 more source
Zero-Dimensionality and Serre Rings [PDF]
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
core
Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
wiley +1 more source
On Soft Near‐Prime Int‐Ideals and Soft 1‐Absorbing Prime Int‐Ideals With Applications
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

