On Coatomic Semimodules over Commutative Semirings

Authors : S. Ebrahimi Atani, F. Esmaeili Khalil Saraei

Pages : 0-0

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Publication Date : 2011-11-01

Article Type : Research Paper

Abstract :This paper generalizes some well known results on coatomic and semisimple modules in commutative rings to coatomic and semisimple semimodules over commutative semirings. The main difficulty is figuring out what additional hypotheses the subsemimodules must satisfy to get similar results. It is proved that k-subsemimodules of semimodules are important in the study of semimodules.
Keywords : Semiring, coatomic semimodules, semisimple semimodules, k supplemented semimodules