一类相对小子模

On Relative Small Submodule

左 R-模 P、M,在 M 的由 P 生成的子模格 D_P(M)中给出了τ_P-余本质子模、τ_P-补子模、τ_P-余闭子模等定义,皆为经典概念的推广.研究了这些子模间以及与自同态环间的关系;拓广了有关经典结果.

Left R-module P. M gives the definitions of τp- complementary essential submodule,τp-complementary submodule and τp- complementary closed submodule on the submodule latice Dp (M) of M generated by P.These are the generalization of classical concept.The relation botween these submodules and endomorphism ring is studied and the classical result is therefore developed.