四川师范大学学报（自然科学版）2011，Vol.34Issue(5)：601-604,4.DOI:10.3969/j.issn.1001-8395.2011.05.001
几类w-模的Krull-Remak-Schmidt定理
The Krull-Remak-Schmidt Theorem on Several Classes of w-Modules
摘要
Abstract
In this paper, we investigate the homomorphisms on several classes of w-modules which satisfy ascending and descend-ing chain conditions on w-submodules and generalize the Schur lemma. Moreover, we discuss the uniqueness problem of direct decom-position of modules in view point of the Krull-Remak-Schmidt theorem and prove that several classes of w-modules can be decomposed into a direct sum of directly indecomposable Gubmodules with local endomorphism rings.关键词
w-模/同态/Krull-Remak-Schmidt定理/分解Key words
w-module/ homomorphism/ Krull-Remak-Schmidt theorem/ decomposition分类
数理科学引用本文复制引用
张俊,王芳贵..几类w-模的Krull-Remak-Schmidt定理[J].四川师范大学学报（自然科学版）,2011,34(5):601-604,4.基金项目
国家自然科学基金(11171240)和教育部博士点专项科研基金(20060636001)资助项目.四川师范大学科研基金(定向研究)(10DXL02)对本文给予了支助,谨致谢意. （11171240）
