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Mathematics of the USSR-Sbornik, 1970, Volume 12, Issue 4, Pages 511–520
DOI: https://doi.org/10.1070/SM1970v012n04ABEH000934 (Mi sm3525) 		 
On rings radical over commutative subrings

A. I. Likhtman
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DOI: https://doi.org/10.1070/SM1970v012n04ABEH000934
Abstract: The following theorem is proved. If a ring $R$ is radical over a commutative subring $K$, then all the nilpotent elements of $R$ generate a null-ideal $T$ for which the corresponding factor ring is commutative. An affirmative answer is thus provided for a question raised by Faith.
Bibliography: 5 titles.
Received: 09.12.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 83(125), Number 4(12), Pages 513–523
Bibliographic databases:
UDC: 519.48
MSC: 13A10, 16N40, 16N20, 16N60
Language: English
Original paper language: Russian
Citation: A. I. Likhtman, “On rings radical over commutative subrings”, Math. USSR-Sb., 12:4 (1970), 511–520
Citation in format AMSBIB
\Bibitem{Lik70}
\by A.~I.~Likhtman
\paper On rings radical over commutative subrings
\jour Math. USSR-Sb.
\yr 1970
\vol 12
\issue 4
\pages 511--520
\mathnet{http://mi.mathnet.ru//eng/sm3525}
\crossref{https://doi.org/10.1070/SM1970v012n04ABEH000934}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=271140}
\zmath{https://zbmath.org/?q=an:0212.37703}
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    Russian version PDF:87
    English version PDF:15
    References:34
     
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