On lifting Baer modules
عنوان مقاله: On lifting Baer modules
شناسه ملی مقاله: JR_JART-11-2_010
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JART-11-2_010
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Y. Talebi - Department of Mathematics, University of Mazandaran, Babolsar, Iran
F. Bakhshandeh - Department of Mathematics, University of Mazandaran, Babolsar, Iran
خلاصه مقاله:
Y. Talebi - Department of Mathematics, University of Mazandaran, Babolsar, Iran
F. Bakhshandeh - Department of Mathematics, University of Mazandaran, Babolsar, Iran
We introduce the notion of lifting Baer modules, as a generalization of both Baer and lifting modules and give some of their properties. A module M is called lifting Baer if right annihilator of a left ideal of {\rm End}(M) lies above a direct summand of M. Also, we define the concepts of r-supplemented and amply r-supplemented modules. It is shown that an amply r-supplemened module M that every supplement submodule, is a direct summand of M, is lifting Baer. The relationships between Baer modules and lifting Baer modules are investigated. Morever, we prove that the endomorphism ring of any lifting Baer module is lifting Baer ring.
کلمات کلیدی: lifting Baer module, Baer module, lifting module, Annihilators, Endomorphism rings
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2026850/