Homological Properties in Relation to Nakayama Algebras

作     者：Kwasi Baah Gyamfi Abraham Aidoo Dickson Y. B. Annor 

作者机构：Department of Mathematics Kwame Nkrumah University of Science and Technology Kumasi Ghana 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2017年第5卷第1期

页      面：153-167页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Quivers Path algebras Ext-Groups Projective Resolutions 

摘      要：The goal of this paper is to investigate whether the Ext-groups of all pairs (M, N) of modules over Nakayama algebras of type (n,n,n) satisfy the condition ExtΛn(M,N)=0 for n 0 ? ExtΛn(M,N)=0 for n 0. We achieve that by discussing the Ext-groups of Nakayama algebra with projectives of lengths 3n+1 and 3n+2 using combinations of modules of different lengths.