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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 23–35 (Mi fpm1896)  
Graded rings with finiteness conditions

D. S. Bazhenov, A. L. Kanunnikov

Moscow State University, Moscow, Russia
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Abstract: This paper is devoted to quotient rings of graded rings with finiteness conditions for ideals. The analogs of Goldie, Shock, and Small theorems are proved. We find criteria for a graded ring $R$ to admit a gr-semisimple and gr-Artinian (the Goldie theorem) and gr-Artinian (the Small theorem) classical graded quotient ring.
Funding agency Grant number
Russian Science Foundation 16-11-10013П
A. L. Kanunnikov is supported by Russian Science Foundation, grant 16-11-10013P..
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 282–289
DOI: https://doi.org/10.1007/s10958-023-06280-w
Document Type: Article
UDC: 512.552.23
Language: Russian
Citation: D. S. Bazhenov, A. L. Kanunnikov, “Graded rings with finiteness conditions”, Fundam. Prikl. Mat., 23:3 (2020), 23–35; J. Math. Sci., 269:3 (2023), 282–289
Citation in format AMSBIB
\Bibitem{BazKan20}
\by D.~S.~Bazhenov, A.~L.~Kanunnikov
\paper Graded rings with finiteness conditions
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 23--35
\mathnet{http://mi.mathnet.ru/fpm1896}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 282--289
\crossref{https://doi.org/10.1007/s10958-023-06280-w}
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