학술저널
Almost Projective Modules over Artin Algebras
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 1, No. 1
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1988.0643 - 53 (11 pages)
- 0
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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