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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 2, Pages 281–285
DOI: https://doi.org/10.1070/IM1973v007n02ABEH001936 (Mi im2246) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the dimension of noncommutative affine algebras

V. T. Markov
English version PDF (291 kB) Citations (12)
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DOI: https://doi.org/10.1070/IM1973v007n02ABEH001936
Abstract: Let $R$ be a finitely generated prime $PI$-algebra over a field $F$. $Z$ is the center of its ring of fractions. It is proved that $Z$ is the field of fractions of the center of $R$ and that the transcendence degree of $Z$ over $F$ is equal to the maximal length of a chain of prime ideals in $R$.
Received: 16.05.1972
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 2, Pages 284–288
Bibliographic databases:
UDC: 519.4
MSC: Primary 16A38, 16A08; Secondary 16A42, 16A12
Language: English
Original paper language: Russian
Citation: V. T. Markov, “On the dimension of noncommutative affine algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973), 284–288; Math. USSR-Izv., 7:2 (1973), 281–285
Citation in format AMSBIB
\Bibitem{Mar73}
\by V.~T.~Markov
\paper On the dimension of noncommutative affine algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 2
\pages 284--288
\mathnet{http://mi.mathnet.ru/im2246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=360683}
\zmath{https://zbmath.org/?q=an:0255.16007}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 2
\pages 281--285
\crossref{https://doi.org/10.1070/IM1973v007n02ABEH001936}
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  • https://doi.org/10.1070/IM1973v007n02ABEH001936
  • https://www.mathnet.ru/eng/im/v37/i2/p284
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:282
    Russian version PDF:85
    English version PDF:7
    References:48
    First page:3
     
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