• Title/Summary/Keyword: potent rings

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SOME PROPERTIES OF (m, n)-POTENT CONDITIONS

  • CHO, YONG UK
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.469-474
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    • 2015
  • In this paper, we will consider the notions of (m, n)-potent conditions in near-rings, in particular, a near-ring R with left bipotent or right bipotent condition. We will derive some properties of near-rings with (1, n) and (n, 1)-potent conditions where n is a positive integer, and then some properties of near-rings with (m, n)-potent conditions. Also, we may discuss the behavior of R-subgroups in (1, n)-potent or (n, 1)-potent near-rings..

ON POTENT RINGS

  • Li, Bingjun
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.161-167
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    • 2008
  • A ring R is called an $I_0$-ring if each left ideal not contained in the Jacobson radical J(R) contains a non-zero idempotent. If, in addition, idempotents can be lifted modulo J(R), R is called an I-ring or a potent ring. We study whether these properties are inherited by some related rings. Also, we investigate the structure of potent rings.

ON REGULAR NEAR-RINGS WITH (m,n)-POTENT CONDITIONS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.25 no.4
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    • pp.441-447
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    • 2009
  • Jat and Choudhari defined a near-ring R with left bipotent or right bipotent condition in 1979. Also, we can dene a near-ring R as subcommutative if aR = Ra for all a in R. From these above two concepts it is natural to investigate the near-ring R with the properties aR = $Ra^2$ (resp. $a^2R$ = Ra) for each a in R. We will say that such is a near-ring with (1,2)-potent condition (resp. a near-ring with (2,1)-potent condition). Thus, we can extend a general concept of a near-ring R with (m,n)-potent condition, that is, $a^mR\;=\;Ra^n$ for each a in R, where m, n are positive integers. We will derive properties of near-ring with (1,n) and (n,1)-potent conditions where n is a positive integer, any homomorphic image of (m,n)-potent near-ring is also (m,n)-potent, and we will obtain some characterization of regular near-rings with (m,n)-potent conditions.

A Note on Potent Elements

  • Chen, Huanyin
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.519-526
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    • 2005
  • In this paper, we prove that every exchange ring can be characterized by potent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean rings in which every element is a sum of a potent element and a unit.

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(CO)RETRACTABILITY AND (CO)SEMI-POTENCY

  • Hakmi, Hamza
    • Korean Journal of Mathematics
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    • v.25 no.4
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    • pp.587-606
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    • 2017
  • This paper is a continuation of study semi-potentness endomorphism rings of module. We give some other characterizations of endomorphism ring to be semi-potent. New results are obtained including necessary and sufficient conditions for the endomorphism ring of semi(injective) projective module to be semi-potent. Finally, we characterize a module M whose endomorphism ring it is semi-potent via direct(injective) projective modules. Several properties of the endomorphism ring of a semi(injective) projective module are obtained. Besides to that, many necessary and sufficient conditions are obtained for semi-projective, semi-injective modules to be semi-potent and co-semi-potent modules.

Antimicrobial Activities of Hydroxybiphenyl Derivatives

  • Bae, Ki-Hwan;Koo, Sung-Hyen;Seo, Won-Jun
    • Korean Journal of Pharmacognosy
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    • v.17 no.1
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    • pp.85-90
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    • 1986
  • It has been elucidated that magnolol and honokiol, isolated from the stem bark of Magnolia obovata, had potent antibacterial activity against a cariogenic bacterium Streptococcus mutans. They also show a significant antibacterial activity against Bacillus anthracis, which causes malignant pustule and woolsorter disease in human. Some hydroxybiphenyl derivatives are synthesized from starting materials, phenylphenols and biphenols by means of Claisen's rearrangement and Elb's method to develop more potent antibacterial chemicals and to investigate the structure-activity relationships. The introduction of allyl groups to the aromatic rings of starting materials shows increase of antibacterial activities, but the number and positions of them do not effect their activities. Furthermore, the introduction of hydroxy group to aromatic rings also increases the activity.

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Ginsenosides Evoke Vasorelaxation in Rat Aortic Rings: Involvement of $Ca^{2+}$-dependent $K^+$ Channels

  • Nak Doo Kim;Soo
    • Proceedings of the Ginseng society Conference
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    • 1998.06a
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    • pp.182-189
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    • 1998
  • Administration of ginsenosides, a mixture of saponin extracted from Panax ginseng, decreased blood pressure in rat. Previous studies have shown that ginsenosides caused endothelium-dependent relaxation, which was associated with the formation of cyclic GMP, suggested that ginsenosides caused release of nitric oxide (NO) from the vascular endothelium. The aim of the present study was to characterize the endothelium-independent relaxation to ginsenosides in the isolated rat aorta. Ginsenosides caused a concentration-dependent relaxation of rat aortic rings without endothelium constricted with 25 mM KCI but affected only minimally those constricted with 60 mM KCI. Ginsenoside Rg3 (Rg3) was a more potent vasorelaxing agonist than total ginsenoside mixture and also the ginsenoside PPT and PPD groups. Relaxation to ginsenosides were markedly reduced by TEA, but not by glibenclamide. Rg3 significantly inhibited Cal'-induced concentration-contraction curves and the "50a2'influx in aortic rings incubated in 25 mM KCI whereas those responses were not affected in 60 mM KCI. Rg3 caused efflux of $"Rb in aortic rings that was inhibited by tetraethy- lammonium (TEA), an inhibitor of Ca"-dependent K'channels, but not by glibenclamide, an inhibitor of AfP-dependent K'channels. These findings indicate that ginsenosides may induce vasorelaxation via activation of Ca2'-dependent K'channels resulting in hyperpolarization of the vas- cular smooth muscle with subsequent inhibition of the opening of voltage-dependent Caf'channels. These effects could contribute to explain the red ginseng-associated vasodilation and the beneficial effect on the cardiovascular system.

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Inhibitory Effects of Glipizide on Cromakalim-induced Vasorelaxative and Hypotensive Action in the Rats (Rat에서 Cromakalim에 의해 유발된 혈관이완 및 혈압강하작용에 대한 Glipizide의 억제작용)

  • 허인회;안형수;윤성훈
    • YAKHAK HOEJI
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    • v.35 no.3
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    • pp.216-221
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    • 1991
  • The inhibitory effects of glipizide on cromakalim-induced relaxation of aortae and hypotension in the anesthetized rats was examined. In rat thoracic aortic rings pre-contracted with norepinephrine, cromakalim produced a relaxation sustainedly. This relaxation was completely inhibited by pre- or post-treatment of glipizide. In the anesthetized rat, cromakalim produced a rapid and sustained fall in the arterial blood pressure. This hypotensive action of cromakalim was abolished by pre- or post-treatment of glipizide. It is suggested that glipizide is the potent inhibitor of cromakalim, $K^{+}$ channel opener, in the rats.

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Effect of Cumambrin A on the Relaxation of Rat Aorta (흰쥐에서 Cumambrin A의 대동맥 이완작용)

  • Hong, Yong-Geun;Yang, Min-Suk;Pak, Yun-Bae
    • Korean Journal of Pharmacognosy
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    • v.36 no.1 s.140
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    • pp.17-20
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    • 2005
  • We previously reported that the exogenous administration of cumambrin A, a sesquiterpene lactone from the dried flowers of Chrysanthemum boreale Makino has a pharmacological effect on normalization of blood pressure in the spontaneously hypertensive rats (SHR). In the present study, we further investigated the effect of cumambrin A on the relaxation of phenylephrine-induced precontracted rat aortic artery rings. The potency of cumambrin A was than compared to verapamil, a well known $Ca^{2+}-channel$ blocker. The results demonstrate that the isolated rat aortic arteries are relaxed to basal tension at a concentration of $5{\times}10^{-5}\;M$ cumambrin A treatment. The results also show that the phenylephrine-induced contraction is inhibited by a pretreatment of cumambrin A. Co-treatment of cumambrin A and verapamil showed a strong synergetic effect on the relaxation of rat aortic artery rings. Thus, these data demonstrate that cumambrin A is a potent relaxant of rat aortic smooth muscle and suggest that cumambrin A modulates intracellular or extracellular $Ca^{2+}$ mobilization.

Synthesis of Tetracyclic Pyrido[2,3-b]azepine Derivatives as Analogues of Mirtazapine via N-Acyliminium Ion Cyclization

  • Lee, Jae-Yeol;Bang, Sung-Hun;Lee, Sook-Ja;Song, Yun-Seon;Jin, Chang-Bae;Park, Ho-Koon;Lee, Yong-Sup
    • Bulletin of the Korean Chemical Society
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    • v.23 no.11
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    • pp.1623-1628
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    • 2002
  • Tetracyclic pyrido[2,3-b]azepine derivatives 4a-d and 4f as analogues of mirtazapine were synthesized via N-acyliminium ion cyclization by using aromatic rings such as benzene and thiophene ring as a ${\pi}-nucleophile$, and evaluated for the binding affinity for ${\alpha}2-adrenoceptor$. Among tested compounds, 2,3,9,13b-tetrahydro-1H-benzo[f]pyrrolo[2,1-a]pyrido[2,3-c]azepine (4a) was the most potent (Ki = 0.26 ${\mu}M)$ but showed about 3-fold less binding affinity than mirtazapine (Ki = 0.08 ${\mu}M)$ for a2-adrenoceptor.