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IMI/Publicaţii/BASM/Ediţii/BASM n3(97), 2021/

On differentially prime subsemimodules

Authors: Ivanna Melnyk
Keywords: differential semimodule, differential subsemimodule, differentially prime subsemimodule, quasi-prime subsemimodule

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.

Ivan Franko National University of Lviv,
1, Universytetska St., Lviv, 79000, Ukraine
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