Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, Number 3, Pages 30–35 (Mi basm556)  
On differentially prime subsemimodules

Ivanna Melnyk

Ivan Franko National University of Lviv, 1, Universytetska St., Lviv, 79000, Ukraine
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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.
Received: 08.08.2021
Document Type: Article
MSC: 16Y60, 13N99
Language: English
Citation: Ivanna Melnyk, “On differentially prime subsemimodules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, no. 3, 30–35
Citation in format AMSBIB
\Bibitem{Mel21}
\by Ivanna~Melnyk
\paper On differentially prime subsemimodules
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2021
\issue 3
\pages 30--35
\mathnet{http://mi.mathnet.ru/basm556}
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