TITLE:
Homological Properties in Relation to Nakayama Algebras
AUTHORS:
Kwasi Baah Gyamfi, Abraham Aidoo, Dickson Y. B. Annor
KEYWORDS:
Quivers, Path algebras, Ext-Groups, Projective Resolutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.1,
January
25,
2017
ABSTRACT: 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.