• Title/Summary/Keyword: S-UFD

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NON-UNIQUE FACTORIZATION DOMAINS

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.779-784
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    • 2008
  • We show that $\mathbb{Z}[\sqrt{-p}]$ is not a unique factorization domain (UFD) but a factorization domain (FD) with a condition $1\;+\;a^2p\;=\;qr$, where a and p are positive integers and q and r are positive primes in $\mathbb{Z}$ with q < p. Using this result, we also construct several specific non-unique factorization domains which are factorization domains. Furthermore, we prove that an integral domain $\mathbb{Z}[\sqrt{-p}]$ is not a UFD but a FD for some positive integer p.

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Cell Viability in $G_0$-like Stationary Phase of Schizosaccharomyces pombe: Roles of Psp1/Sds23 and Ufd2

  • Jang, Young-Joo;Ji, Jae-Hoon;Chung, Kyung-Sook;Kim, Dong-Uk;Hoe, kwang-Lae;Won, Mi-Sun;Yoo, Hyang-Sook
    • Proceedings of the Microbiological Society of Korea Conference
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    • 2005.05a
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    • pp.110-113
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    • 2005
  • Under the condition of nutritional deprivation, actively growing cells prepare to enter $G_0$-like stationary phase. Protein modification by phosphorylation/dephosphorylation or ubiqutination contributes to transfer cells from active cell cycle to dormant stage. We show here that Psp1/Sds23, which functions in association with the 20S cyclosome/APC (1) and is essential for cell cycle progression in Schizosaccharomyces pombe (2), is phosphorylated by stress-activated MAP kinase Sty1 and protein kinase A, as well as Cdc2/cyclinB, upon entry into stationary phase. Three serines at the positions 18,333 and 391 are phosphorylated and overexpression of Psp1 mutated on these sites causes cell death in stationary phase. These modifications are required for the binding of Spufd2, a S.pombe homolog of multiubiquitin chain assembly factor E4 in ubiquitin fusion degradation pathway. Deletion of Spufd2 gene led to increase cell viability in stationary phase, indicating that S. pombe Ufd2 functions to inhibit cell growth at this stage to maintain cell viability. Moreover, Psp1 enhances the multiubiquitination function of Ufd2, suggesting that Psp1 phosphorylated by sty1 and PKA kinases is associated with the Ufd2-dependent protein degradation pathway, which is linked to stress tolerance, to maintain cell viability in the $G_0$-like stationary phase.

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Soybeans Fermented with Bacillus po/yfermenticus KJS-2 Protects Oplegnathus fasciatus from Iridovirus and Pathogenic Bacterial Infection (Bacillus polyfermenticus KJS-2에서 발효된 콩의 돌돔에 대한 이리도바이러스 및 병원성균에 대한 예방효과)

  • Kim, Kang-Min;Na, Hae-Choon;Park, Jung-Hee;Kang, Jae-Seon
    • Journal of Life Science
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    • v.19 no.6
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    • pp.720-727
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    • 2009
  • Lyophilized powder (BP2FS) of soybeans fermented with Bacillus polyfermenticus KJS-2 (B. polyfermenticus KJS-2) exhibited in vitro antibacterial activities against eight pathogenic bacteria. BP2FS was used as a fodder additive for Oplegnathus fasciatus (0. fasciatus) culture. One group (UFD) of O. fasciatus was fed a commercial fodder, while another group (FD) was fed the same fodder, but including BP2FS ($6{\times}10^{4}$ cfu $g^{-1}$ fodder), two times daily for 120 days. The mean body weight of the FD group (67.29${\pm}$12.62 g) was higher than that of the UFD group (56.56${\pm}$8.21 g) after 120 days. The survival rate of FD was 80% compared to 40% for the UFD group. Cumulative mortalities in the FD and UFD groups were 18.95% and 60.98% respectively. B. polyfermenticus KJS-2 was isolated from the intestines of the FD group and the number of viable colonies was estimated to be $1.04{\times}10^{4}$ cfu $g^{-1}$. Iridovirus and Vibrio vulnificus was detected in the organs of the UFD group but not in the FD group. All of the infected fish showed typical clinical symptoms of hemorrhage in their tail fins. Dissection of the infected internal organs revealed liver congestion and spleen enlargement - typical symptoms caused by iridovirus infection. These results clearly show that BP2FS is highly beneficial in preventing O. fasciatus from iridovirus infection.

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY

  • Hamed, Ahmed;Kim, Hwankoo
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1215-1229
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    • 2020
  • Let D be an integral domain and S a multiplicative subset of D. An ascending chain (Ik)k∈ℕ of ideals of D is said to be S-stationary if there exist a positive integer n and an s ∈ S such that for each k ≥ n, sIk ⊆ In. As a generalization of domains satisfying ACCP (resp., ACC on ∗-ideals) we define D to satisfy S-ACCP (resp., S-ACC on ∗-ideals) if every ascending chain of principal ideals (resp., ∗-ideals) of D is S-stationary. One of main results of this paper is the Hilbert basis theorem for an integral domain satisfying S-ACCP. Also we investigate the class of such domains D and we generalize some known related results in the literature. Finally some illustrative examples regarding the introduced concepts are given.

KAPLANSKY-TYPE THEOREMS IN GRADED INTEGRAL DOMAINS

  • CHANG, GYU WHAN;KIM, HWANKOO;OH, DONG YEOL
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1253-1268
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    • 2015
  • It is well known that an integral domain D is a UFD if and only if every nonzero prime ideal of D contains a nonzero principal prime. This is the so-called Kaplansky's theorem. In this paper, we give this type of characterizations of a graded PvMD (resp., G-GCD domain, GCD domain, $B{\acute{e}}zout$ domain, valuation domain, Krull domain, ${\pi}$-domain).

Changes of physiochemical properties and biological activity during the fermentation of Doenjnag with bitter melon (Momordica charantia L.) (여주 함유 된장의 발효 중 이화학적 특성 및 생리활성의 변화)

  • Hwang, Chung Eun;Joo, Ok Soo;Lee, Jin Hwan;Song, Yeong Hun;Hwang, In Guk;Cho, Kye Man
    • Food Science and Preservation
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    • v.24 no.1
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    • pp.134-144
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    • 2017
  • This study evaluated the changes of physiochemical properties, phytochemical compounds (isoflavones and phenolic acids), and biological activity during the fermentation of Doenjang without and with bitter melon powder (BMP). The pH decreased from 6.41-5.83 to 5.81-5.24, during the fermentation of Doenjang, while the acidity increased from 0.42-0.65% to 1.28-1.48%. The viable cell numbers of Bacillus and Yeast, salinity, and total amino acid contents increased at the end fermentation (60 day). Also, the fermented Doenjang (FD) with 10% BMP showed the highest ${\gamma}$-aminobutyric acid (GABA, 129.87 mg/100 g) contents, among all the Doenjang samples. The FD exhibited significantly higher inhibitory activities than unfermented Doenjang (UFD) on radicals and ${\alpha}$-glucosidase. The phytochemical compounds including isoflavone-aglycones and phenolic acids increased, whereas isoflavoneglycosides decreased in the BM following fermentative processing. Moreover, the total phenolic, isoflavone-aglycone, and phenolic acid contents were markedly increased, leading to a general increase in antioxidant and ${\alpha}$-glucosidase inhibition activities after fermentation. These results suggest that BMP may be used to prepare a new type of fermented Doenjang with improved antioxidant and antidiabetic activities.

The Monitoring of Heavy Metals in Human Bloods of Middle School Students (중학생의 혈액 중 중금속 모니터링)

  • Park Hee Ra;Kim Meehye;Kwun Ki-Sung;Kim Soon Ki;Heo Su-Jeong;Kim Kwang_Jin;Yum Tae-Kyung;Choi Kwang Sik;Kim Soo Yeon
    • Journal of Food Hygiene and Safety
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    • v.20 no.2
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    • pp.83-88
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    • 2005
  • This study was conducted to estimate the contents of heavy metals including lead, cadmium, zinc, copper as well as iron status(serum iron, total iron binding capacity, feritin etc)in blood samples of middle school students(n=300). The contents of heavy metals were determined using the GF-AAS (Graphite furnace Atomic Absorption Spectrophotometer). The microwave digestion method and dilution method were compared. The dilution method showed the better recovery and detection limit than microwave digestion method. The values of toxic metals in whloe blood of boys & girls were 3.46 & 3.05 for Pb,0.063 & 0.065 for Cd respectively (ug/dL). Also the values of trace metals in serum of boys & girls were 105.9 & 92.6 for Zn, 98.3 & 99.0 for Cu respectively (ug/dL). The prevalence of iron deficiency was $7.5\%$ in 146 boys and $14.3\%$ in 156 girls. The mean values of lead in girls were higher in iron deficiency, iron deficiency anemia and anemia groups than normal group. The mean values of lead and zinc were higher in boys compared to those in girls(P<0.05), the mean values of cadmium and copper in boys were similar to those in girls. Our results of toxic metals such as Pb & Cd showed lower to CDC's(Centers for Disease Control) blood lead levels of concern for children, 10 ug/dL.