Results 1 to 10 of about 41 (41)
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
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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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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
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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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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
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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
Chain conditions on composite Hurwitz series rings
Open Mathematics, 2017 In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
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A note on the countable union of prime submodules
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 10, Page 641-643, 2001., 2001 Let M be a finitely‐generated module over a Noetherian ring R. Suppose 𝔞 is an ideal of R and let N = 𝔞M and 𝔟 = Ann(M/N). If 𝔟⫅J(R), M is complete with respect to the 𝔟‐adic topology, {Pi} i≥1 is a countable family of prime submodules of M, and x ∈ M, then x + N⫅∪i≥1Pi implies that x + N⫅Pj for some i ≥ 1.
M. R. Pournaki, M. Tousi
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Universally catenarian domains of D + M type, II
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 209-214, 1991., 1991 Let T be a domain of the form K + M, where K is a field and M is a maximal ideal of T. Let D be a subring of K such that R = D + M is universally catenarian. Then D is universally catenarian and K is algebraic over k, the quotient field of D. If [K : k] < ∞, then T is universally catenarian.
David E. Dobbs, Marco Fontana
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Noetherian rings of composite generalized power series
Open MathematicsLet 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
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