2) graded coalgebra

分次余代数
1.
In this text,let C be graded coalgebra,the author discusses that D is the graded subcoalgebra of C if only if that D~┴ is the graded ideal of R;D is the graded subcoideal of C if only if that D~┴ is the graded subcoalgebra of R;D is the graded right(left) coideal of C if only if that ~┴ is the graded right(left) ieal of R.
设C是分次余代数,讨论D是C的分次子余代数的充要条件是D的垂直正交补D┴是R的分次理想;D是C的分次余理想的充要条件是D的垂直正交补D┴是R的分次子代数;D是C的分次右(左)余理想的充要条件是D的垂直正交补D┴是R的分次右(左)理想。
3) comodule coalgebra

余模余代数
1.
This paper introduces the conception of two-sided Hopf comodule coalgebras and mainly gives the Maschke theorem for two-sided H-comodule coalgebra.
引入了双边Hopf余模余代数概念,并证明了双边Hopf余模余代数的Maschke定理。
4) graded subcoalgebra

分次子余代数
1.
In this text,let C be graded coalgebra,the author discusses that D is the graded subcoalgebra of C if only if that D~┴ is the graded ideal of R;D is the graded subcoideal of C if only if that D~┴ is the graded subcoalgebra of R;D is the graded right(left) coideal of C if only if that ~┴ is the graded right(left) ieal of R.
设C是分次余代数,讨论D是C的分次子余代数的充要条件是D的垂直正交补D┴是R的分次理想;D是C的分次余理想的充要条件是D的垂直正交补D┴是R的分次子代数;D是C的分次右(左)余理想的充要条件是D的垂直正交补D┴是R的分次右(左)理想。
5) codenumerable set

余可数集
6) One's failing years are numbered.

余年可数。
补充资料:余玠(?~1253)
南宋末抗蒙名臣。字义夫。蕲州(湖北蕲春南)人。初为淮东制置使赵葵幕僚。嘉熙年间(1237~1240)任知招信军,于汴城、河阴战败蒙古军,升淮东提点刑狱兼知淮安军。淳祐元年(1241),赴援安丰,败蒙古军,升淮东制置副使;六月,任四川宣谕使。次年,改任四川安抚制置使兼知重庆府,后又兼四川总领兼夔路转运使。自蒙古军攻入四川,蜀地残破,宋朝将吏各专号令,犹如一盘散沙。余玠到任后,大改弊政,遴选守臣,惩杀悍将、溃将,整顿军政;轻徭薄征,设置屯田;修学养士,延纳贤才。同时加强战备,用冉琎、冉璞计,修筑钓鱼城(今重庆合川东),又陆续修筑大获(今四川苍溪南)、青居(今四川南充南)、云顶(今四川金堂南)、神臂(今四川合江西北)、天生(今四川万县西)等十余城,皆因山为垒,或为诸州治所,或用屯兵积粮;驻重兵于大获城以控扼自陕入蜀孔道,驻重兵于青居、钓鱼、云顶以保障嘉陵江、长江,形成一个防御网。余玠又作《经理四蜀图》上报朝廷,自许十年之内手挈蜀地还宋。从淳祐三年到四年,余玠与蒙古军大小三十六战,战果显著。后又率军北攻兴元(今陕西汉中),还击退进扰成都、嘉定(今四川乐山)的蒙古军。然而云顶山统制姚世安勾结权相谢方叔等,造谣中伤余玠。宝祐元年(1253),宋廷命余晦代余玠,召余玠回朝。余玠闻召不安,七月,突然死去,或说饮毒而亡。
参考书目
陈世松:《余玠传》,重庆出版社,1982。
参考书目
陈世松:《余玠传》,重庆出版社,1982。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条