关键词： 拟遗传代数, 投射模, 不可约映射

Abstract: This paper is devoted to an approach of the category of projective modules of quasi-hereditary algebras of type An associated to a linearly ordered posets  with a minimal generating set consisting of exactly one generator.A characterisation of homomorphisms and the irreducible mappings is obtained.Realizing the involved algebras by the upper triangular matrices,a matrical representation of those irreducible mappings is computed.

Key words: quasi-hereditary algebra, projective module, irreducible mapping