Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, Number 3, Pages 112–115 (Mi basm42)  
Short communications

Differentially prime, quasi-prime and $\Delta-MP$-modules

I. O. Melnyk

Algebra and Logic Department, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Lviv, Ukraine
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Abstract: The notions of differentially prime, quasi-prime and $\Delta-MP$-modules introduced by the author are investigated. The results obtained are module analogues of the well-known facts on differentially prime and quasi-prime ideals of differential rings. The principal constructions are based on the concept of relative multiplicatively closed subset of the differential module.
Keywords and phrases: Differentially prime module, quasi-prime module, $Sdm$-system, differentially prime radical.
Received: 16.05.2008
Bibliographic databases:
Document Type: Article
MSC: 12H05, 13A15
Language: English
Citation: I. O. Melnyk, “Differentially prime, quasi-prime and $\Delta-MP$-modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 3, 112–115
Citation in format AMSBIB
\Bibitem{Mel08}
\by I.~O.~Melnyk
\paper Differentially prime, quasi-prime and $\Delta-MP$-modules
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2008
\issue 3
\pages 112--115
\mathnet{http://mi.mathnet.ru/basm42}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2478721}
\zmath{https://zbmath.org/?q=an:1233.13010}
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