擬入射模的固態映像的分解

SOME DECOMPOSITIONS OF EPIMORPHIC IMAGES OF QUASI-INJECTIVE MODULES

封閉子模為研究擬入射模之重要工具。本文主要在研究擬入射模之同態映像的封閉子模與優誠實（superhonest）子模。證明Sandomierski 〔7〕中之定理2˙10之系理，Harada〔3〕中之定理1˙7與本人〔1〕中之性質4˙7都可推廣至擬入射模的同態映像。提供擬入射模的同態映像幾種 分解方式。

Closed submodules are an important tool in studying quasi-injective modules. In this article we are mainly concerned with the closed submodules and the superhonest submodules of quasi-injective modules. We shall prove that Corollary of Theorem 2， 10 in [7]; Theorem 1.7 in [3] and Proposition 4.7 in [1] still hold when the R-module is an epimor-phic image of a quasi-injective R-module. It deduces some decompositions of epimorphic images of quasi-injective modules.