In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Dri...In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules V, we construct Nichols algebra B(V) over the weak Hopf algebra H, and a series of weak Hopf algebras. Some results of [8] are generalized.展开更多
Keith Nichols出生在远离纽约圣劳伦斯河附近的一个被称为Massena镇的牛奶场里。在高中毕业后,他作为一名航空电子技术员在海军度过4年。离开海军后他迁入马里兰洲的银泉,之后他在一家叫Bunker Ramo的电子公司得到一个职位,并因此来到...Keith Nichols出生在远离纽约圣劳伦斯河附近的一个被称为Massena镇的牛奶场里。在高中毕业后,他作为一名航空电子技术员在海军度过4年。离开海军后他迁入马里兰洲的银泉,之后他在一家叫Bunker Ramo的电子公司得到一个职位,并因此来到加州。展开更多
Lagerstroemia indica L.has a high medicinal value,its bark,leaves and flowers can be used as medicine.Its flowers are reddish,purple,or white,thereinto,the white one is called L.indica Linn.f.alba(Nichols.)Rehd.,which...Lagerstroemia indica L.has a high medicinal value,its bark,leaves and flowers can be used as medicine.Its flowers are reddish,purple,or white,thereinto,the white one is called L.indica Linn.f.alba(Nichols.)Rehd.,which is a forma of L.indica.In this paper,the hypoglycemic effects of different extracts from flowers of L.indica(LIF)and L.indica L.f.alba(Nichols.)Rehd.(LIAF)were investigated byα-glucosidase inhibitory method in vitro and alloxan-induced diabetic mice model in vivo,respectively.The results in vitro showed that ethyl acetate extracts(EA)of LIF and LIAF(IC_(50)=4.45 and 4.09µg/mL,resepectively)had the highest inhibitory activity ofα-glucosidase,and followed by n-butyl alcohol extracts(BU)(IC_(50)=17.01 and 14.58µg/mL,respectively),and the last was petroleum ether extracts(PE)(IC_(50)=103.29 and 112.47µg/mL,respectively),the activities of all extracts were higher than that of the positive control(acarbose,IC_(50)=1278.83µg/mL).The results in vivo showed that compared with the model control group,each dose group of LIF could significantly(P<0.05,P<0.01 or P<0.001)decrease fasting blood glucose,total cholesterol(TC)level and malondialdehyde(MDA)content in diabetic mice and increase superoxide dismutase(SOD)level(P<0.05)in serum.Partial dose groups of LIF could significantly(P<0.05)decrease postprandial blood glucose,triglyceride(TG)and increase liver glycogen content.Each dose group of LIAF could significantly(P<0.05,P<0.01 or P<0.001)decrease fasting blood glucose,TC level and increase SOD level in serum.Partial dose groups of LIAF could significantly(P<0.05)decrease TG,MDA level and increase liver glycogen content.These results indicate that LIF and LIAF had effective prevention and treatment effects on the development for diabetes.展开更多
In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra ...In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra A with the Chevalley property, if its diagram is a Nichols algebra, then the diagram of its maximal pointed Hopf subalgebra is also a Nichols algebra. When A is of finite dimension, we provide a necessary and sufficient condition for A＇s diagram equaling the diagram of its maximal pointed Hopf subalgebra.展开更多
基金Supported by ZJNSF(LY17A010015,LZ14A010001)NNSF(11171296),CSC
文摘In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules V, we construct Nichols algebra B(V) over the weak Hopf algebra H, and a series of weak Hopf algebras. Some results of [8] are generalized.
基金This work was funded by Research on Precision Nutrition and Health Food,Department of Science and Technology of Henan Province(CXJD2021006).
文摘Lagerstroemia indica L.has a high medicinal value,its bark,leaves and flowers can be used as medicine.Its flowers are reddish,purple,or white,thereinto,the white one is called L.indica Linn.f.alba(Nichols.)Rehd.,which is a forma of L.indica.In this paper,the hypoglycemic effects of different extracts from flowers of L.indica(LIF)and L.indica L.f.alba(Nichols.)Rehd.(LIAF)were investigated byα-glucosidase inhibitory method in vitro and alloxan-induced diabetic mice model in vivo,respectively.The results in vitro showed that ethyl acetate extracts(EA)of LIF and LIAF(IC_(50)=4.45 and 4.09µg/mL,resepectively)had the highest inhibitory activity ofα-glucosidase,and followed by n-butyl alcohol extracts(BU)(IC_(50)=17.01 and 14.58µg/mL,respectively),and the last was petroleum ether extracts(PE)(IC_(50)=103.29 and 112.47µg/mL,respectively),the activities of all extracts were higher than that of the positive control(acarbose,IC_(50)=1278.83µg/mL).The results in vivo showed that compared with the model control group,each dose group of LIF could significantly(P<0.05,P<0.01 or P<0.001)decrease fasting blood glucose,total cholesterol(TC)level and malondialdehyde(MDA)content in diabetic mice and increase superoxide dismutase(SOD)level(P<0.05)in serum.Partial dose groups of LIF could significantly(P<0.05)decrease postprandial blood glucose,triglyceride(TG)and increase liver glycogen content.Each dose group of LIAF could significantly(P<0.05,P<0.01 or P<0.001)decrease fasting blood glucose,TC level and increase SOD level in serum.Partial dose groups of LIAF could significantly(P<0.05)decrease TG,MDA level and increase liver glycogen content.These results indicate that LIF and LIAF had effective prevention and treatment effects on the development for diabetes.
基金Supported by the National Natural Science Foundation of China(11271319,11301126)
文摘In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra A with the Chevalley property, if its diagram is a Nichols algebra, then the diagram of its maximal pointed Hopf subalgebra is also a Nichols algebra. When A is of finite dimension, we provide a necessary and sufficient condition for A＇s diagram equaling the diagram of its maximal pointed Hopf subalgebra.
