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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 13–21 (Mi fpm1895)  
On the semirings of skew polynomials

M. V. Babenkoa, V. V. Chermnykhb

a Vyatka State University, Vyatka, Russia
b Syktyvkar State University named after Pitirim Sorokin, Syktyvkar, Russia
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Abstract: Semirings of skew polynomials such as invariant, without nilpotent elements, Abelian, and Rickart without nilpotent elements are considered in this paper. Properties and characterizations of these semirings are obtained.
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 276–281
DOI: https://doi.org/10.1007/s10958-023-06279-3
Document Type: Article
UDC: 512.55
Language: Russian
Citation: M. V. Babenko, V. V. Chermnykh, “On the semirings of skew polynomials”, Fundam. Prikl. Mat., 23:3 (2020), 13–21; J. Math. Sci., 269:3 (2023), 276–281
Citation in format AMSBIB
\Bibitem{BabChe20}
\by M.~V.~Babenko, V.~V.~Chermnykh
\paper On the semirings of skew polynomials
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 13--21
\mathnet{http://mi.mathnet.ru/fpm1895}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 276--281
\crossref{https://doi.org/10.1007/s10958-023-06279-3}
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