Valued Gabriel quiver of a wedge product and semiprime coalgebras  

作　　者：Gabriel NAVARR0 

机构地区：[1]Department of Computer Sciences and AI, University of Granada, E1 Greco, s/n, E-51002,Ceuta, Spain

出　　处：《Frontiers of Mathematics in China》2013年第5期1157-1183,共27页中国高等学校学术文摘·数学（英文）

摘　　要：We describe the valued Gabriel quiver of a wedge product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.We describe the valued Gabriel quiver of a wedge product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.

关 键 词：Wedge product semiprime coalgebras representation theory valued Gabriel quiver 

分 类 号：O153.3[理学—数学] TP273.4[理学—基础数学]