分次余代数的余理想  

The Coideal of Graded Coalgebra

作　　者：张玲萍[1] 

机构地区：[1]淮阴师范学院数学系 江苏淮安223300

出　　处：《甘肃联合大学学报（自然科学版）》2006年第6期19-22,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：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.特别地,分别取D与C的子空间De与Ce,它们也有一定的关系.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. Especially let D, and C, be subspace of D and C ,then the author also discusses the relations between De and Ce.

关 键 词：分次余代数 分次子余代数 分次余理想 

分 类 号：O151[理学—数学]