A Note on Uniformly Primary Submodules
نویسندگان
چکیده
We introduce the concept of "uniformly primary submodules" of a module over a commutative ring R, which generalizes the concept of "uniformly primary ideals" of R, a concept that imposes a certain boundedness condition on the usual notion of "primary ideal". Several results on uniformly primary submodules are proved. Also, we characterize uniformly primary submodules of a multiplication module. AMS Mathematics Subject Classification (2000): 13C05, 13C13, 13A15
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