fc-驯顺余代数和fc-野余代数的局部化  

Localization in fc-tame and fc-wild Coalgebras

作　　者：张素娟[1,2] 姚海楼[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]石家庄铁道大学数理系,石家庄050043

出　　处：《北京工业大学学报》2014年第1期145-149,共5页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(10971172);北京市自然科学基金资助项目(1122002);河北省高等学校科学技术研究项目(Z2013067)

摘　　要：为了研究fc-驯顺余代数和fc-野余代数的局部化问题,基于fc-驯顺余代数和fc-野余代数的概念和性质,运用局部化方法,利用quotient函子和section函子,研究有限余表现余模、fc-驯顺余代数和fc-野余代数,得到了有限余表现余模的弱的局部化性质,尤其给出了余代数和局部化余代数之间fc-驯顺和fc-野的关系.To investigate the localization problems of fc-tame coalgebras and fc-wild coalgebras, based on the concepts and properties of fc-tame coalgebras and fc-wild coalgebras, using the method of localization and applying the quotient functor and section functor, the authors studied the finitely copresented comodules, fc-tame eoalgebras and fc-wild coalgebras and obtained the weak localization properties of finitely copresented comodules. In particular, the relations of fc-tame and fc-wild between coalgebras and localized eoalgebras were given.

关 键 词：余代数 余模 fc-驯顺余代数 fc-野余代数 局部化 

分 类 号：O153.3[理学—数学]