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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 77–87 (Mi basm447)  

This article is cited in 1 scientific paper (total in 1 paper)

Research articles

On the inverse operations in the class of preradicals of a module category, II

Ion Jardanab

a Technical University of Moldova
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Full-text PDF (137 kB) Citations (1)
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Abstract: In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\mathbb{PR}$ of the category $R$-Mod of left $R$-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in $\mathbb{PR}$ are shown. Connections with some constructions in the large complete lattice $\mathbb{PR}$ are studied and some particular cases are mentioned.
Keywords and phrases: ring, module, lattice, preradical, join, meet, coproduct, left coquotient.
Received: 20.04.2017
Bibliographic databases:
Document Type: Article
MSC: 16D90, 16S90
Language: English
Citation: Ion Jardan, “On the inverse operations in the class of preradicals of a module category, II”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 77–87
Citation in format AMSBIB
\Bibitem{Jar17}
\by Ion~Jardan
\paper On the inverse operations in the class of preradicals of a~module category,~II
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 2
\pages 77--87
\mathnet{http://mi.mathnet.ru/basm447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3723500}
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  • https://www.mathnet.ru/eng/basm/y2017/i2/p77
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    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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