کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596211 1336156 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strongly Jónsson and strongly HS modules
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Strongly Jónsson and strongly HS modules
چکیده انگلیسی
Let R be a commutative ring with identity and let M be an infinite unitary R-module. Then M is a Jónsson module provided every proper R-submodule of M has smaller cardinality than M. In this note, we strengthen this condition and call an R-module M (which may be finite) strongly Jónsson provided distinct R-submodules of M have distinct cardinalities. We present a classification of these modules, and then we study a sort of dual notion. Specifically, we consider modules M for which M/N and M/K have distinct cardinalities for distinct R-submodules N and K of M; we call such modules strongly HS (see the introduction for etymology). We conclude the paper with a classification of the strongly HS modules over an arbitrary commutative ring.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 8, August 2014, Pages 1385-1399
نویسندگان
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