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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 5, Pages 89–93 (Mi fpm1671)  
This article is cited in 2 scientific papers (total in 2 papers)

Radical properties of lattice $\mathcal{K}$-ordered algebras

J. V. Kochetova

Moscow State Pedagogical University
Full-text PDF (87 kB) Citations (2)
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Abstract: Kopytov's $\mathcal{K}$-order for any algebras over a field is considered. Some results concerning relationships between $l$-prime radicals and prime radicals in lattice $\mathcal{K}$-ordered algebras over partially ordered fields are obtained. Also, the notion of a saturated system in an $l$-algebra is introduced and some properties of saturated systems of lattice $\mathcal{K}$-ordered algebras are presented.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 3, Pages 411–413
DOI: https://doi.org/10.1007/s10958-018-3747-7
Bibliographic databases:
Document Type: Article
UDC: 512.552+512.545
Language: Russian
Citation: J. V. Kochetova, “Radical properties of lattice $\mathcal{K}$-ordered algebras”, Fundam. Prikl. Mat., 20:5 (2015), 89–93; J. Math. Sci., 230:3 (2018), 411–413
Citation in format AMSBIB
\Bibitem{Koc15}
\by J.~V.~Kochetova
\paper Radical properties of lattice $\mathcal{K}$-ordered algebras
\jour Fundam. Prikl. Mat.
\yr 2015
\vol 20
\issue 5
\pages 89--93
\mathnet{http://mi.mathnet.ru/fpm1671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589146}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 3
\pages 411--413
\crossref{https://doi.org/10.1007/s10958-018-3747-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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