Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions:(1)if for each x∈R\N(R)and each y∈R,(xy)^(k)=x^(k)y^(k)for k=m,m+1...Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions:(1)if for each x∈R\N(R)and each y∈R,(xy)^(k)=x^(k)y^(k)for k=m,m+1,n,n+1,where m and n are relatively prime positive integers,then R is commutative;(2)if for each x∈R\J(R)and each y∈R,(xy)^(k)=y^(k)x^(k)for k=m,m+1,m+2,where m is a positive integer,then R is commutative.Secondly,generalized 2-CN rings,a kind of ring being commutative to some extent,are investigated.Some relations between generalized 2-CN rings and other kinds of rings,such as reduced rings,regular rings,2-good rings,and weakly Abel rings,are presented.展开更多
目的:探究游泳和下坡跑通过钙调磷酸酶(CN)/活化T细胞核因子(NFAT)途径对T2DM小鼠骨吸收代谢的影响。方法:采用6周高脂膳食和一次性注射链脲佐菌素(STZ)进行T2DM造模,成功后随机分为T2DM对照组(TC)、T2DM游泳组(TS)和T2DM下坡跑组(TD),...目的:探究游泳和下坡跑通过钙调磷酸酶(CN)/活化T细胞核因子(NFAT)途径对T2DM小鼠骨吸收代谢的影响。方法:采用6周高脂膳食和一次性注射链脲佐菌素(STZ)进行T2DM造模,成功后随机分为T2DM对照组(TC)、T2DM游泳组(TS)和T2DM下坡跑组(TD),另选C57小鼠为正常对照组(ZC)。T2DM小鼠继续高脂膳食,ZC小鼠饲以普通饲料。TS和TD小鼠分别进行8周游泳和下坡跑训练。末次训练24 h后处死小鼠并取材,应用Micro-CT、细胞原代培养、ELISA、RT-PCR及West-blotting等技术方法对骨组织形态计量学指标、OC数量、离子浓度、细胞因子m RNA和蛋白表达等进行检测。结果:TC组股骨中TRAF6、CN、Src-3、PLC、NFATc1、TRAP m RNA及胫骨中Src1和NFATc1蛋白表达上调(P<0.05),血清IP3和Ca2+浓度升高(P<0.05),BMM分化产生的OC总数量和≥10个核OC数量增多(P<0.01)。股骨远端松质骨和皮质骨骨组织形态计量学指标显著下降(P<0.05)。与TC比,TS组股骨中TRAF6、CN、PLC和TRAPm RNA及Src1蛋白表达下调,血清Ca2+浓度下降(P<0.05或P<0.01)。TD组股骨中TRAF6、CN、Src-3、PLC、NFATc1和TRAPm RNA及胫骨中Src1和NFATc1蛋白表达下调,血清IP3和Ca2+浓度下降(P<0.05)。OC总数量和≥10个核OC数量显著减少(P<0.05),松质骨和皮质骨骨组织形态计量学指标显著改善(P<0.05)。与TS比,TD组股骨中TRAF6、Src-3、PLC和TRAP m RNA表达下调及血清IP3和Ca^(2+)浓度下降(P<0.05),OC总数量(P<0.05)下降,松质骨BS/TV增加(P<0.05)。结论:T2DM小鼠骨吸收增强。下坡跑通过抑制T2DM小鼠骨中CN/NFAT途径,减少OC数量,降低骨吸收,改善骨组织形态结构,且其作用效果优于游泳。展开更多
基金This work was in part supported by the National Science Foundation of China under Grant Nos.11701499 and 11671008the National Science Foundation of Projects of Jiangsu Province of China under Grant No.BK20170589.
文摘Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions:(1)if for each x∈R\N(R)and each y∈R,(xy)^(k)=x^(k)y^(k)for k=m,m+1,n,n+1,where m and n are relatively prime positive integers,then R is commutative;(2)if for each x∈R\J(R)and each y∈R,(xy)^(k)=y^(k)x^(k)for k=m,m+1,m+2,where m is a positive integer,then R is commutative.Secondly,generalized 2-CN rings,a kind of ring being commutative to some extent,are investigated.Some relations between generalized 2-CN rings and other kinds of rings,such as reduced rings,regular rings,2-good rings,and weakly Abel rings,are presented.
文摘目的:探究游泳和下坡跑通过钙调磷酸酶(CN)/活化T细胞核因子(NFAT)途径对T2DM小鼠骨吸收代谢的影响。方法:采用6周高脂膳食和一次性注射链脲佐菌素(STZ)进行T2DM造模,成功后随机分为T2DM对照组(TC)、T2DM游泳组(TS)和T2DM下坡跑组(TD),另选C57小鼠为正常对照组(ZC)。T2DM小鼠继续高脂膳食,ZC小鼠饲以普通饲料。TS和TD小鼠分别进行8周游泳和下坡跑训练。末次训练24 h后处死小鼠并取材,应用Micro-CT、细胞原代培养、ELISA、RT-PCR及West-blotting等技术方法对骨组织形态计量学指标、OC数量、离子浓度、细胞因子m RNA和蛋白表达等进行检测。结果:TC组股骨中TRAF6、CN、Src-3、PLC、NFATc1、TRAP m RNA及胫骨中Src1和NFATc1蛋白表达上调(P<0.05),血清IP3和Ca2+浓度升高(P<0.05),BMM分化产生的OC总数量和≥10个核OC数量增多(P<0.01)。股骨远端松质骨和皮质骨骨组织形态计量学指标显著下降(P<0.05)。与TC比,TS组股骨中TRAF6、CN、PLC和TRAPm RNA及Src1蛋白表达下调,血清Ca2+浓度下降(P<0.05或P<0.01)。TD组股骨中TRAF6、CN、Src-3、PLC、NFATc1和TRAPm RNA及胫骨中Src1和NFATc1蛋白表达下调,血清IP3和Ca2+浓度下降(P<0.05)。OC总数量和≥10个核OC数量显著减少(P<0.05),松质骨和皮质骨骨组织形态计量学指标显著改善(P<0.05)。与TS比,TD组股骨中TRAF6、Src-3、PLC和TRAP m RNA表达下调及血清IP3和Ca^(2+)浓度下降(P<0.05),OC总数量(P<0.05)下降,松质骨BS/TV增加(P<0.05)。结论:T2DM小鼠骨吸收增强。下坡跑通过抑制T2DM小鼠骨中CN/NFAT途径,减少OC数量,降低骨吸收,改善骨组织形态结构,且其作用效果优于游泳。
