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BAER SPECIAL RINGS AND REVERSIBILITY
Hai-Lan Jin 충청수학회 2014 충청수학회지 Vol.27 No.4
In this paper, we apply some properties of reversible rings, Baerness of xed rings, skew group rings and Morita Context rings to get conditions that shows xed rings, skew group rings and Morita Context rings are reversible. Moreover, we investigate in which Baer rings are reversible and reversible rings Baer.
Hai Lan Jin,Zhelin Piao 영남수학회 2019 East Asian mathematical journal Vol.35 No.3
In this article we show that direct limits do not preserve the property that the Wedderburn radical contains all nilpotents, comparing the fact that the NI property is preserved by direct limits.
Jin, Hai-lan,Piao, Zhelin The Youngnam Mathematical Society 2019 East Asian mathematical journal Vol.35 No.3
In this article we show that direct limits do not preserve the property that the Wedderburn radical contains all nilpotents, comparing the fact that the NI property is preserved by direct limits.
INSERTION-OF-FACTORS-PROPERTY WITH FACTORS MAXIMAL IDEALS
Jin, Hai-Lan,Jung, Da Woon,Lee, Yang,Ryu, Sung Ju,Sung, Hyo Jin,Yun, Sang Jo Korean Mathematical Society 2015 대한수학회지 Vol.52 No.3
Insertion-of-factors-property, which was introduced by Bell, has a role in the study of various sorts of zero-divisors in noncommutative rings. We in this note consider this property in the case that factors are restricted to maximal ideals. A ring is called IMIP when it satisfies such property. It is shown that the Dorroh extension of A by K is an IMIP ring if and only if A is an IFP ring without identity, where A is a nil algebra over a field K. The structure of an IMIP ring is studied in relation to various kinds of rings which have roles in noncommutative ring theory.
BAER SPECIAL RINGS AND REVERSIBILITY
Jin, Hai-Lan Chungcheong Mathematical Society 2014 충청수학회지 Vol.27 No.4
In this paper, we apply some properties of reversible rings, Baerness of fixed rings, skew group rings and Morita Context rings to get conditions that shows fixed rings, skew group rings and Morita Context rings are reversible. Moreover, we investigate conditions in which Baer rings are reversible and reversible rings are Baer.
( Hai Yan Zhao ),( Hui Ying Li ),( Jian Jin ),( Ji Zhe Jin ),( Long Ye Zhang ),( Mei Ying Xuan ),( Xue Mei Jin ),( Yu Ji Jiang ),( Hai Lan Zheng ),( Ying Shun Jin ),( Yong Jie Jin ),( Bum Soon Choi ) 대한내과학회 2021 The Korean Journal of Internal Medicine Vol.36 No.0
Background/Aims: Accumulating evidence indicates that L-carnitine (LC) protects against multiorgan damage through its antioxidant properties and preservation of the mitochondria. Little information is available about the effects of LC on renal fibrosis. This study examined whether LC treatment would provide renoprotection in a rat model of unilateral ureteral obstruction (UUO) and in vitro. Methods: Sprague-Dawley rats that underwent UUO were treated daily with LC for 7 or 14 days. The influence of LC on renal injury caused by UUO was evaluated by histopathology, and analysis of gene expression, oxidative stress, mitochondrial function, programmed cell death, and phosphatidylinositol 3-kinase (PI3K)/ AKT/forkhead box protein O 1a (FoxO1a) signaling. In addition, H<sub>2</sub>O<sub>2</sub>-exposed human kidney cells (HK-2) were treated with LC. Results: LC treatment inhibited expression of proinflammatory and profibrotic cytokines, and was followed by a significant attenuation of tubulointerstitial inflammation and fibrosis. The increased oxidative stress caused by UUO was associated with mitochondrial dysfunction and excessive apoptosis and autophagy via PI3K/AKT/FoxO1a-dependent signaling, and this was abrogated by administration of LC. In H<sub>2</sub>O<sub>2</sub>-exposed HK-2 cells, LC decreased intracellular production of reactive oxygen species, and suppressed expression of profibrotic cytokines and reduced the number of apoptotic cells. Conclusions: LC protects against the progression of tubulointerstitial fibrosis in an obstructed kidney.
JIN, HAI-LAN,PIAO, YONG-JIE Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.3
A continuous and non-decreasing function ${\psi}$ and another continuous function ${\phi}$ with ${\phi}(z)=0{\Leftrightarrow}z=0$ defined on $\mathbb{C}^+=\{x+yi:x,y{\geq}0\}$ are introduced, the ${\psi}-{\phi}$-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.
Hai-Lan Jin,Yong-jie Piao 충청수학회 2015 충청수학회지 Vol.28 No.3
A continuous and non-decreasing function ψ and another continuous function φ with φ(z) = 0 <=⇒ z = 0 defined on C + = {x + yi : x, y ≥ 0} are introduced, the ψ-φ-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.