Abstract:
The paper is devoted to the investigation of the notion of a differentially prime subsemimodule of a differential semimodule over a commutative semiring, which generalizes the notion of differentially prime ideal of a ring. The characterization of differentially prime subsemimodules is given. The interrelation between differentially prime subsemimodules and different types of differential subsemimodules and ideals is studied.
Keywords and phrases:differential semimodule, differential subsemimodule, differentially prime subsemimodule, quasi-prime subsemimodule.
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