• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.251-258
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• 2002

Let R be a commutative Noetherian ring and M an R-module. In this paper we will consider the asymptotic behaviour of ideals relative to an R-module E which is M-injective.

• Korean journal of applied entomology
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• v.25 no.3 s.68
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• pp.191-192
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• 1986

• Proceedings of the SAREK Conference
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• 2006.11a
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• pp.97-97
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• 2006

• Proceedings of the SAREK Conference
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• 2007.06a
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• pp.154-154
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• 2007

• Honam Mathematical Journal
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• v.29 no.3
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• pp.351-366
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• 2007

Let R be a commutative ring and let M be an R-module. Let X = Spec(M) be the prime spectrum of M with Zariski topology. Our main purpose in this paper is to specify the topological dimensions of X, where X is a Noetherian topological space, and compare them with those of topological dimensions of $Supp_{R}$(M). Also we will give a characterization for the irreducibility of X and we obtain some related results.

• Proceedings of the SAREK Conference
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• 2005.06a
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• pp.222-222
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• 2005

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.761-768
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• 2021

Let I be a nonzero ideal of a prime ring R and m, n are positive integers. If R admits a generalized derivation F satisfying F(x)ⁿF(y)^m - xⁿy^m = 0 for any y, x ∈ I, then F(x) = ax for any x ∈ R and a^m+n = 1, where a ∈ C, the extended centroid of R.

• Korean Journal of Clinical Pharmacy
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• v.16 no.1
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• pp.28-33
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• 2006

The stability of cefditoren in three kinds of oral liquid preparations at 4 and $25^{\circ}C$ was studied for 90 days. Two tablets of 100 mg cefditoren pivoxil were mixed with 200 mL of each oral liquid syrup, which is Pebron syrup (oxolamine citrate 10 mg/mL), $Mucopect^{(R)}$ syrup (ambroxol hydrochloride 3 mg/mL) or $Tyrenol^{(R)}$ suspension (acetaminophen encapsulated 32 mg/mL). Three samples of each formulation were refrigerated $(4^{\circ}C)$ and three were stored at room temperature $(25^{\circ}C)$. At predetermined time, samples were assayed by stability-indicating HPLC method. The chromatographic analysis after deliberate degradation showed no evidence of any breakdown product likely to interfere with the chromatographic peak of the parent substance. The relation between cefditoren pivoxil concentration and peak area was linear from 10 to $150{\mu}g/mL\;(r^2=0.9998)$. The analysis method was precise, with coefficients of variation no greater than 3.6%. Cefditoren was stable in $Mucopect^{(R)}$ syrup up to 4 weeks regardless of the temperature; in $Tyrenol^{(R)}$ suspension and Pebron syrup, it was stable for at least 28 and 45 days, and 7 and 45 days at 25 and $4^{\circ}C$, respectively. The percentages of initial cefditoren concentration remaining after 90 days were $51.5{\pm}1.8\;and\;80.9{\pm}5.6%,\;61.7{\pm}7.8\;and\;70.2{\pm}7.3%,\;and\;39.9{\pm}3.2\;and\;81.4{\pm}5.5%$ in $Mucopect^{(R)}$ syrup, $Tyrenol^{(R)}$ suspension and $Pebron^{(R)}$ syrup at 25 and $4^{\circ}C$, respectively. The pH variations of all test solutions were minimal, which was within 0.5. The results indicated that the stability of cefditoren was significantly affected by liquid solutions mixed with cefditoren, and storage tempertature.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.693-699
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• 1999

It is a well-known result that a commutative ring R is von Neumann regular if and only if for any maximal ideal m of R the R-module R/m is flat. In this note we bring a generalization of this result for modules.

• Bulletin of the Korean Mathematical Society
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• v.34 no.1
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• pp.35-42
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• 1997

Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.