Results 1 to 10 of about 224 (25)
On 2r-ideals in commutative rings with zero-divisors
Open Mathematics, 2023 In this article, we are interested in uniformly prpr-ideals with order ≤2\le 2 (which we call 2r2r-ideals) introduced by Rabia Üregen in [On uniformly pr-ideals in commutative rings, Turkish J. Math. 43 (2019), no. 4, 18781886]. Several characterizations
Alhazmy Khaled +3 more
doaj +1 more source
Noetherian properties in composite generalized power series rings
Open Mathematics, 2020 Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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On modules over Laurent polynomial rings [PDF]
, 2010 A finitely generated module over the ring L=Z[t, t^{-1}] of integer Laurent polynomials that has no Z-torsion is determined by a pair of sub-lattices of L^d.
Silver, Daniel S., Williams, Susan G.
core +2 more sources
When is each proper overring of R an S(Eidenberg)-domain? [PDF]
, 2002 A domain R is called a maximal "non-S" subring of a field L if R [containded in] L, R is not an S-domain and each domain T such that R [containded in] T [contained in or equal] L is an S-domain.
Jarboui, Noômen
core +2 more sources
On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]
, 2012 In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood +1 more
core +3 more sources
Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
Some Extensions of Generalized Morphic Rings and EM-rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
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Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules [PDF]
, 2015 Let $A$ be a Noetherian standard $\mathbb{N}$-graded algebra over an Artinian local ring $A_0$. Let $I_1,\ldots,I_t$ be homogeneous ideals of $A$ and $M$ a finitely generated $\mathbb{N}$-graded $A$-module. We prove that there exist two integers $k$ and $
Ghosh, Dipankar
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On some properties of ⊕‐supplemented modules
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 69, Page 4373-4387, 2003., 2003 A module M is ⊕‐supplemented if every submodule of M has a supplement which is a direct summand of M. In this paper, we show that a quotient of a ⊕‐supplemented module is not in general ⊕‐supplemented. We prove that over a commutative ring R, every finitely generated ⊕‐supplemented R‐module M having dual Goldie dimension less than or equal to three is ...
A. Idelhadj, R. Tribak
wiley +1 more source
Nagata rings and directed unions of Artinian subrings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 71, Page 4465-4471, 2003., 2003 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