A C/D ring synthon of vitamin D is readily obtained from cholesteryl acetate via oxidation, elimination of acetoxy group and Norrish type II photochemical reaction.
In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on princi...In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on principal left ideals is Boolen. (2) Ring with identity whose principal left ideals satisfy A. D. C. C and of which each element except identity is a left zero-divisor, is Boolean.These results generalize the results of [1],[2] and [3].展开更多
设R是有单位元的交换环,C是半对偶R-模。基于D C-投射模和C-f-投射模的概念,给出了关于半对偶模C的弱Ding-投射模的定义,称之为弱D C-投射模。利用环模理论和同调代数的方法,讨论了弱D C-投射模与D C-投射模及C-Gorenstein投射模之间的...设R是有单位元的交换环,C是半对偶R-模。基于D C-投射模和C-f-投射模的概念,给出了关于半对偶模C的弱Ding-投射模的定义,称之为弱D C-投射模。利用环模理论和同调代数的方法,讨论了弱D C-投射模与D C-投射模及C-Gorenstein投射模之间的关系。研究了弱D C-投射模的若干性质和等价刻画。结果表明:M是弱D C-投射模,当且仅当M∈⊥P f C(R)且存在Hom R(-,P f C(R))-正合的正合列0→M→C R P-1→C R P-2→…,其中P i(i<0)是投射R-模且P f C(R)是C-f-投射R-模组成的类;所有弱D C-投射R-模组成的类是投射可解的且关于任意直和因子封闭。展开更多
A selective ring-opening [3+2] cyclization reaction of benzo[d]isoxazoles with 2-bromo-propanamides has been developed.The azaoxyallyl cation intermediates are employed as C^O 3-atom synthon to build oxa-heterocycles ...A selective ring-opening [3+2] cyclization reaction of benzo[d]isoxazoles with 2-bromo-propanamides has been developed.The azaoxyallyl cation intermediates are employed as C^O 3-atom synthon to build oxa-heterocycles via the selectivity of suitable cyclization partners.This transformation provides rapid access to highly functionalized 2-hydroxyaryl-oxazolines under mild conditions and excellent regioselectivity.展开更多
文摘A C/D ring synthon of vitamin D is readily obtained from cholesteryl acetate via oxidation, elimination of acetoxy group and Norrish type II photochemical reaction.
文摘In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on principal left ideals is Boolen. (2) Ring with identity whose principal left ideals satisfy A. D. C. C and of which each element except identity is a left zero-divisor, is Boolean.These results generalize the results of [1],[2] and [3].
文摘设R是有单位元的交换环,C是半对偶R-模。基于D C-投射模和C-f-投射模的概念,给出了关于半对偶模C的弱Ding-投射模的定义,称之为弱D C-投射模。利用环模理论和同调代数的方法,讨论了弱D C-投射模与D C-投射模及C-Gorenstein投射模之间的关系。研究了弱D C-投射模的若干性质和等价刻画。结果表明:M是弱D C-投射模,当且仅当M∈⊥P f C(R)且存在Hom R(-,P f C(R))-正合的正合列0→M→C R P-1→C R P-2→…,其中P i(i<0)是投射R-模且P f C(R)是C-f-投射R-模组成的类;所有弱D C-投射R-模组成的类是投射可解的且关于任意直和因子封闭。
基金partial financial support from the Ministry of Science and Technology of China(No.2016YFE0132600)Zhengzhou University。
文摘A selective ring-opening [3+2] cyclization reaction of benzo[d]isoxazoles with 2-bromo-propanamides has been developed.The azaoxyallyl cation intermediates are employed as C^O 3-atom synthon to build oxa-heterocycles via the selectivity of suitable cyclization partners.This transformation provides rapid access to highly functionalized 2-hydroxyaryl-oxazolines under mild conditions and excellent regioselectivity.
基金financially supported by the"111 Project"from the Ministry of Education of China and the State Administration of Foreign Expert Affairs of China(No.111-2-07)the program for Changjiang Scholars and Innovative Research Team in University(No.IRT1193)the program for research innovation to postgraduates of Jiangsu Province(No.02705181)~~
基金Supportedin part by the Natural Science Foundation of Zhejiang Province(Y6090404)supported in part by the Graduate Innovation Seed Project of Hangzhou Normal University