ON HOLLOW-WEAK LIFTING MODULES
Keywords:
NON
Abstract
Let R be any ring and let M be any right R-module. M is called hollow-weak lifting if every semisimple submodule N of M such that M/N is hollow has a cossential submodule that is a direct submmand of M. We prove that M is hollow-weak lifting iff every semisimple N of M such that M/N is hollow has strong supplemented in M.And show that M is hollow-weak lifting iff every semisimple submodule N of M such that M/N is hollow can be written as N=KÅL with K is direct summand of M and L is small submodule of M.
Published
2010-03-01
How to Cite
Yaseen, S. M. (2010). ON HOLLOW-WEAK LIFTING MODULES. Al-Nahrain Journal of Science, 13(1), 157-159. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/1158
Section
Articles
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