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t-UC模的若干等价刻画
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作者 李煜彦 《四川轻化工大学学报(自然科学版)》 CAS 2020年第3期75-79,共5页
设τ是遗传挠理论,基于Asgari和Ceken等人引入的t-本质子模和τ-UC模的概念,利用环模理论的研究方法,给出了t-UC模的概念。若M的任意子模在M中都存在唯一的t-闭包,则称M是t-UC模。通过举例说明了t-UC模和UC模之间的关系,讨论了t-UC模的... 设τ是遗传挠理论,基于Asgari和Ceken等人引入的t-本质子模和τ-UC模的概念,利用环模理论的研究方法,给出了t-UC模的概念。若M的任意子模在M中都存在唯一的t-闭包,则称M是t-UC模。通过举例说明了t-UC模和UC模之间的关系,讨论了t-UC模的若干等价刻画,并给出了两条推论:(1)若M是t-UC模,则对任意N≤tcM,NM是t-UC模和UC模;(2)当且仅当M的任意子模是t-UC模时,M是t-UC模。进而,当M=⊕i∈IMi是t-UC模时,证明了M是t-extending模当且仅当对任意i∈I,M是t-extending模,且对满足K∩Mi■Z2(M)(i∈I)产M的任意t-闭子模K,K是M的直和因子。 展开更多
关键词 t-本质子 uc模 t-uc模 t-闭包
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2型_(χ^-)CS模的直和
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作者 王文康 《西北民族学院学报(自然科学版)》 2001年第1期4-6,共3页
通过讨论 2型 χ CS模的直和是 2型 χ CS模 ,可以证明 :对任意直和M = i∈IMi是 2型 χ CS模的充要条件是在I中存在i,j,满足i≠ j,对于M的任意一个闭子模K ∈ χe(M ) ,若K ∩Mi =0或K ∩Mj =0 ,则必有K|M 此外 ,还考虑了当M是UC模时... 通过讨论 2型 χ CS模的直和是 2型 χ CS模 ,可以证明 :对任意直和M = i∈IMi是 2型 χ CS模的充要条件是在I中存在i,j,满足i≠ j,对于M的任意一个闭子模K ∈ χe(M ) ,若K ∩Mi =0或K ∩Mj =0 ,则必有K|M 此外 ,还考虑了当M是UC模时 ,M是 2型 χ 展开更多
关键词 uc模 2型 x-CS 集合
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Effects of electroacupuncture at lower he-sea points on interleukin-1β and high mobility group box 1 in model rats with ulcerative colitis 被引量:3
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作者 张泓 易细芹 +2 位作者 凌希 吴金峰 艾坤 《World Journal of Acupuncture-Moxibustion》 CSCD 2015年第4期25-31,共7页
Objective To comparatively observe the effect of electroacupuncture at digestive system-related lower he-sea points on the expressions of serum interleukin-1β(IL-1 β), tumor necrosis factor-α(TNF-α) of colon t... Objective To comparatively observe the effect of electroacupuncture at digestive system-related lower he-sea points on the expressions of serum interleukin-1β(IL-1 β), tumor necrosis factor-α(TNF-α) of colon tissues and high mobility group box 1 protein(HMGB 1) of ulcerative colitis(UC) model rats, and to explore whether there is relative specificity of electroacupuncture at Shàngjùxū(上巨虚 ST 37), one of lower he-sea points of large intestine, in treatment of bowel diseases. Method A total of 60 SD rats were randomly divided into control group, model group, ST 37 group, Zúsānl?(足三里 ST 36) group, Xiàjùxū(下巨虚 ST 39) group and Yánglíngquán(阳陵泉 GB 34) group. There were ten rats in each group; five were males, and five were females. UC models were established by clysis with 2, 4, 6-trinitrobenzene sulfonic acid/alcohol solution. After modeling, treatment was conducted for ten days, specimens were collected, colonic ulcers and inflammation were inspected visually and scored. The content of serum IL-1β and the expressions of TNF-α and HMGB 1 in colon were detected through ELISA. Results 1 Compared with control group, the scores of colonic ulcers and inflammation, the content of serum IL-1β and the expressions of TNF-α(except ST 37 group) and HMGB 1 were all higher(P〈0.05, P〈0.01); 2 compared with model group, the scores of colonic ulcers in ST 36 group and ST 37 group were lower obviously(P〈0.05, P〈0.01); the expressions of IL-1β, TNF-α and HMGB 1 in the four treatment groups were lower obviously(P〈0.01); 3 compared with ST 37 group, the expressions of IL-1β, TNF-α and HMGB 1 in other three treatment groups were higher obviously(P〈0.05, P〈0.01); and the scores of colonic ulcers in ST 39 group and GB 34 group were higher obviously(P〈0.05). Conclusion 1 The score of colonic ulcers can be reduced through electroacupuncture at ST 37, ST 36, ST 39 and GB 34, which can also reduce the content of serum IL-1β and the expressions of TNF-α and HMGB 1, and effectively inhibit inflammatory response of colon caused by UC; 2 the effect trend of the four acupoints in treatment of UC is: ST 37ST 36ST 39GB 34, and electroacupuncture at ST 37 has the best effect with relative specificity. 展开更多
关键词 ELECTROACUPUNCTURE lower he-sea points ulcerative colitis(uc model rats interleukin-1β(IL-1β) tumor necrosis factor-α high mobility group box 1 protein(HMGB 1) curing viscera diseases by he-sea points
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