Notes on Piecewise-Koszul Algebras  

作　　者：Jia Feng LV Xiao Lan YU 

机构地区：[1]Institute of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第5期943-952,共10页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant No. 11001245）, Zhejiang Province Department of Education Fund （Grant No. Y201016432） and Zhejiang Innovation Project （Grant No. T200905）

摘　　要：The relationships between piecewise-Koszul algebras and other ＂Koszul-type＂ algebras are discussed. The Yoneda-Ext algebra and the dual algebra of a piecewise-Koszul algebra are studied, and a sufficient condition for the dual algebra A^1 to be piecewise-Koszul is given. Finally, by studying the trivial extension algebras of the path algebras of Dynkin quivers in bipartite orientation, we give explicit constructions for piecewise-Koszul algebras with arbitrary ＂period＂ and piecewise-Koszul algebras with arbitrary ＂jump-degree＂.The relationships between piecewise-Koszul algebras and other ＂Koszul-type＂ algebras are discussed. The Yoneda-Ext algebra and the dual algebra of a piecewise-Koszul algebra are studied, and a sufficient condition for the dual algebra A^1 to be piecewise-Koszul is given. Finally, by studying the trivial extension algebras of the path algebras of Dynkin quivers in bipartite orientation, we give explicit constructions for piecewise-Koszul algebras with arbitrary ＂period＂ and piecewise-Koszul algebras with arbitrary ＂jump-degree＂.

关 键 词：Piecewise-Koszul algebras almost Koszul algebras /C：-algebras Dynkin quivers 

分 类 号：TM131[电气工程—电工理论与新技术] P315.5[天文地球—地震学]