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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 4, Pages 147–166 (Mi fpm1822)  
This article is cited in 7 scientific papers (total in 7 papers)

Prime radicals of directed pseudo-ordered rings

A. V. Mikhaleva, E. E. Shirshovab

a Moscow State University, Moscow, Russia
b Moscow Pedagogical State University, Moscow, Russia
Full-text PDF (216 kB) Citations (7)
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Abstract: Characteristics of partially pseudo-ordered ($\mathcal{K}$-ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation of the concept of the prime radical for a ring in the subclass of directed pseudo-ordered rings ($\mathcal{AO}$-ordered rings) is investigated. The description of elements of $\mathcal{AO}$-prime radicals for $\mathcal{AO}$-ordered rings is obtained.
Funding agency Grant number
Russian Science Foundation 16-11-10013
The study was funded by a grant from the Russian Science Foundation, project No. 16-11-10013.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 257, Issue 6, Pages 846–859
DOI: https://doi.org/10.1007/s10958-021-05525-w
Document Type: Article
UDC: 512.545
Language: Russian
Citation: A. V. Mikhalev, E. E. Shirshova, “Prime radicals of directed pseudo-ordered rings”, Fundam. Prikl. Mat., 22:4 (2019), 147–166; J. Math. Sci., 257:6 (2021), 846–859
Citation in format AMSBIB
\Bibitem{MikShi19}
\by A.~V.~Mikhalev, E.~E.~Shirshova
\paper Prime radicals of directed pseudo-ordered rings
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 4
\pages 147--166
\mathnet{http://mi.mathnet.ru/fpm1822}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 257
\issue 6
\pages 846--859
\crossref{https://doi.org/10.1007/s10958-021-05525-w}
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  • https://www.mathnet.ru/eng/fpm/v22/i4/p147
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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