a note on primary-like submodules of multiplication modules
نویسندگان
چکیده
primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. in fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly. in this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful property.
منابع مشابه
A note on primary-like submodules of multiplication modules
Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly. In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pr...
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Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly. In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pro...
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عنوان ژورنال:
journal of algebra and related topicsناشر: university of guilan
ISSN 2345-3931
دوره 2
شماره 2 2014
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