Almost Projective Modules over Artin Algebras

• 발행기관: 충청수학회
• 저자명: JUN SEOK PARK
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 1, No. 1, 43~53쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1988.06.30

영문 초록

The main result of this paper is a characterization of almost projective modules over art in algebras by means of irreducible maps and almost split sequences. A module X is an almost projective module if and only if it has a presentation 0→L→(a)P→X→0 with projective module P and irreducible maps α. Let X be an injective almost projective non simple module and 0→Dtr(x)→E→X→0 be an almost split sequence. If E=E1⊕E2 is a direct decomposition of indecomposable modules then ℓ(X)=3.

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