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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 215–230 (Mi fpm1904)  
This article is cited in 2 scientific papers (total in 2 papers)

Prime radicals of directed pseudo-ordered algebras over directed fields

A. V. Mikhaleva, E. E. Shirshovab

a Moscow State University, Moscow, Russia
b Moscow Pedagogical State University, Moscow, Russia
Full-text PDF (180 kB) Citations (2)
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Abstract: Characteristics of partially pseudo-ordered ($\mathcal K$-ordered) algebras are considered. Properties of ideals and order homomorphisms in partially pseudo-ordered algebras are described. A variation of the concept of the prime radical for an algebra in a subclass of directed pseudo-ordered algebras ($\mathcal{AO}$-ordered algebras) over directed fields is investigated. A description of elements of $\mathcal{AO}$-prime radicals for $\mathcal{AO}$-ordered algebras over directed fields is obtained.
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 411–421
DOI: https://doi.org/10.1007/s10958-023-06289-1
Document Type: Article
UDC: 512.545
Language: Russian
Citation: A. V. Mikhalev, E. E. Shirshova, “Prime radicals of directed pseudo-ordered algebras over directed fields”, Fundam. Prikl. Mat., 23:3 (2020), 215–230; J. Math. Sci., 269:3 (2023), 411–421
Citation in format AMSBIB
\Bibitem{MikShi20}
\by A.~V.~Mikhalev, E.~E.~Shirshova
\paper Prime radicals of directed pseudo-ordered algebras over directed fields
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 215--230
\mathnet{http://mi.mathnet.ru/fpm1904}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 411--421
\crossref{https://doi.org/10.1007/s10958-023-06289-1}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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