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Title: Examples of projective resolution of lengths 3n/4n that do not satisfy homological properties of nakayama algebra
Authors: Gyamf, Kwasi Baah
Aidoo, Abraham
Arthur, Yarhands Dissou
Keywords: Quiver
Path algebra
Projective Resolution
Issue Date: 25-Jul-2018
Publisher: Journal of Advances in Mathematics and Computer Science
Abstract: In [1], Gyamfi et al. described homological properties in relation to Nakayama Algebras with projectives that satisfied condition Extn Λ(M, N) = 0 for n ≫ 0 ⇐⇒ Extn Λ(N, M) = 0 for n ≫ 0, [1]. The purpose of this paper is to give a similar characterization of Nakayama algebras. In particular, we present Ext-groups of the Nakayama algebras with projectives that do not satisfy the condition Extn Λ(M, N) = 0 for n ≫ 0 ⇐⇒ Extn Λ(N, M) = 0 for n ≫ 0. To do this, we consider the Ext-groups of Nakayama algebra with projectives of lengths 3n and 4n using combinations of modules of different lengths.
Description: An article published by Journal of Advances in Mathematics and Computer Science and also available at DOI: 10.9734/JAMCS/2018/42573
URI: http://hdl.handle.net/123456789/12891
Appears in Collections:College of Science

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