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Primalities of (R,S)-Submodules Of (R,S)-Modules and of left multiplication (R,S)-Modules |
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Title | Primalities of (R,S)-Submodules Of (R,S)-Modules and of left multiplication (R,S)-Modules |
Creator | Thawatchai Khumprapussorn |
Contributor | Sajee Pianskool, Hal, Mark Edwin |
Publisher | Chulalongkorn University |
Publication Year | 2554 |
Keyword | Multiplication |
Abstract | In this research, the notions of (R, S)-modules and left multiplication (R, S)-modules are introduced. We define and investigate fully prime (R, S)-submodules, jointly prime (R, S)-submodules and left R-prime (R, S)-submodules. Fully prime (R, S)-submodules and jointly prime (R, S)-submodules of a left multiplication (R, S)-module are shown to be identical. Moreover, characterizations of fully prime (R, S)-submodules, jointly prime (R, S)-submodules and left R-prime (R, S)-submodules of an (R, S)-module and of a left multiplication (R, S)-module are provided. |
URL Website | cuir.car.chula.ac.th |