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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, номер 3, страницы 30–35 (Mi basm556)

On differentially prime subsemimodules

Ivanna Melnyk

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

Аннотация: 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.

Ключевые слова и фразы: differential semimodule, differential subsemimodule, differentially prime subsemimodule, quasi-prime subsemimodule.

MSC: 16Y60, 13N99

Поступила в редакцию: 08.08.2021

Язык публикации: английский



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