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오늘 본 자료
THE STRONG MORI PROPERTY IN RINGS WITH ZERO DIVISORS
ZHOU, DECHUAN,WANG, FANGGUI Korean Mathematical Society 2015 대한수학회보 Vol.52 No.4
An SM domain is an integral domain which satisfies the ascending chain condition on w-ideals. Then an SM domain also satisfies the descending chain condition on those chains of v-ideals whose intersection is not zero. In this paper, a study is begun to extend these properties to commutative rings with zero divisors. A $Q_0$-SM ring is defined to be a ring which satisfies the ascending chain condition on semiregular w-ideals and satisfies the descending chain condition on those chains of semiregular v-ideals whose intersection is semiregular. In this paper, some properties of $Q_0$-SM rings are discussed and examples are provided to show the difference between $Q_0$-SM rings and SM rings and the difference between $Q_0$-SM rings and $Q_0$-Mori rings.
THE STRONG MORI PROPERTY IN RINGS WITH ZERO DIVISORS
Dechuan Zhou,Fanggui Wang 대한수학회 2015 대한수학회보 Vol.52 No.4
An SM domain is an integral domain which satisfies the ascending chain condition on w-ideals. Then an SM domain also satisfies the descending chain condition on those chains of v-ideals whose intersection is not zero. In this paper, a study is begun to extend these properties to commutative rings with zero divisors. A Q0-SM ring is defined to be a ring which satisfies the ascending chain condition on semiregular w-ideals and satisfies the descending chain condition on those chains of semiregular v-ideals whose intersection is semiregular. In this paper, some properties of Q0-SM rings are discussed and examples are provided to show the difference between Q0-SM rings and SM rings and the difference between Q0-SM rings and Q0-Mori rings.
Jing Jin,Yuanjin Chen,Dechuan Wang,Lingman Ma,Min Guo,Changlin Zhou,Jie Dou 대한약학회 2018 Archives of Pharmacal Research Vol.41 No.6
Baicalin was identified as a neuraminidase (NA)inhibitor displaying anti-influenza A virus (IAV) activity. However, its poor solubility in saline has limited its use inthe clinic. We generated sodium baicalin and showed that itexhibited greatly increased solubility in saline. Its efficacyagainst oseltamivir-resistant mutant A/FM/1/47-H275Y(H1N1-H275Y) was evaluated in vitro and in vivo. Resultsshowed that 10 lM of sodium baicalin inhibited A/FM/1/47 (H1N1), A/Beijing/32/92 (H3N2) and H1N1-H275Y inMDCK cells in a dose-dependent manner, with inhibitoryrates of 83.9, 75.9 and 47.7%, respectively. Intravenousadministration of sodium baicalin at 100 mg/kg/d enabledthe survival of 20% of H1N1-H275Y-infected mice. Thetreatment alleviated body weight loss and lung injury. Moreover, sodium baicalin exerted a clear inhibitory effecton NAs. The IC50 values of sodium baicalin against H1N1-H275Y and cells-expressing A/Anhui/1/2013-R294K(H7N9-R294K) NA protein (N9-R294K) were 214.4 lMand 216.3 lM. Direct interactions between sodium baicalinand NA were observed, and we simulated the interactionsof sodium baicalin with N9-R294K and N9 near the activesites of OC-N9-R294K and OC-N9. The residues responsiblefor the sodium baicalin-N9-R294K and sodiumbaicalin-N9 interactions were the same, confirming thatsodium baicalin exerts effects on wild-type and oseltamivir-resistant viral strains.
A NOTE ON ARTINIAN LOCAL RINGS
Hu, Kui,Kim, Hwankoo,Zhou, Dechuan Korean Mathematical Society 2022 대한수학회보 Vol.59 No.5
In this note, we prove that an Artinian local ring is G-semisimple (resp., SG-semisimple, 2-SG-semisimple) if and only if its maximal ideal is G-projective (resp., SG-projective, 2-SG-projective). As a corollary, we obtain the global statement of the above. We also give some examples of local G-semisimple rings whose maximal ideals are n-generated for some positive integer n.
τ<sub>w</sub>-LOEWY MODULES AND THEIR APPLICATIONS
Kim, Hwankoo,Lim, Jung Wook,Zhou, Dechuan Korean Mathematical Society 2019 대한수학회보 Vol.56 No.6
In this paper, we study a theory for the structure of ${\tau}_w$-Loewy series of modules over commutative rings, where ${\tau}_w$ is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between ${\tau}_w$-Loewy modules and w-Artinian modules.
ON STRONGLY GORENSTEIN HEREDITARY RINGS
Hu, Kui,Kim, Hwankoo,Wang, Fanggui,Xu, Longyu,Zhou, Dechuan Korean Mathematical Society 2019 대한수학회보 Vol.56 No.2
In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any ring, the class of SG-projective modules and the class of G-projective modules coincide if and only if the class of SG-projective modules is closed under extension. From this we get that a ring is an SG-hereditary ring if and only if every ideal is G-projective and the class of SG-projective modules is closed under extension. We also give some examples of domains whose ideals are SG-projective.