ملخص
All rings are commutative with identity and all modules are unital. Anderson proved that a submodule N of an R-module M is multiplication (resp. join principal) if and only if 0(+)N is a multiplication (resp. join principal) ideal or R(M). The idealization of M. In this article we develop more fully the tool of idealization of a module, particularly in the context of multiplication modules, generalizing Anderson's theorems and discussing the behavior under idealization of some ideals and some submodules associated with a module.
اللغة الأصلية | English |
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الصفحات (من إلى) | 4479-4501 |
عدد الصفحات | 23 |
دورية | Communications in Algebra |
مستوى الصوت | 34 |
رقم الإصدار | 12 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - ديسمبر 1 2006 |
ASJC Scopus subject areas
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