On differentially prime subsemimodules
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2023-08-30 00:12
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512.553 (6)
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MELNYK, Ivanna. On differentially prime subsemimodules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, nr. 3(97), pp. 30-35. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(97) / 2021 / ISSN 1024-7696 /ISSNe 2587-4322

On differentially prime subsemimodules

CZU: 512.553
MSC 2010: 16Y60, 13N99.

Pag. 30-35

Melnyk Ivanna
 
Ivan Franko National University of Lviv
 
 
Disponibil în IBN: 13 octombrie 2022


Rezumat

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.

Cuvinte-cheie
differential semimodule, differential subsemimodule, differentially prime subsemimodule, quasi-prime subsemimodule