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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 86, Pages 66–81 (Mi znsl1823)  
This article is cited in 3 scientific papers (total in 3 papers)

Relation between rank and multiplicative complexity of a bilinear form over a commutative Noetherian ring

D. Yu. Grigor'ev
Full-text PDF (1449 kB) Citations (3)
Abstract: The concept of multiplicative complexity of a bilinear form is introduced for a commutative Noetherian ring. Rings are described for which the multiplicative complexity coincides with the rank for all forms. It is shown that for regular rings of dimension $\geqslant3$ the multiplicative complexity can exceed the rank by an arbitrarily large number.
English version:
Journal of Soviet Mathematics, 1981, Volume 17, Issue 4, Pages 1987–1998
DOI: https://doi.org/10.1007/BF01465456
Bibliographic databases:
UDC: 512.715, 518.5
Language: Russian
Citation: D. Yu. Grigor'ev, “Relation between rank and multiplicative complexity of a bilinear form over a commutative Noetherian ring”, Algebraic numbers and finite groups, Zap. Nauchn. Sem. LOMI, 86, "Nauka", Leningrad. Otdel., Leningrad, 1979, 66–81; J. Soviet Math., 17:4 (1981), 1987–1998
Citation in format AMSBIB
\Bibitem{Gri79}
\by D.~Yu.~Grigor'ev
\paper Relation between rank and multiplicative complexity of a bilinear form over a commutative Noetherian ring
\inbook Algebraic numbers and finite groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 86
\pages 66--81
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1823}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=535481}
\zmath{https://zbmath.org/?q=an:0462.13007|0441.13007}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 17
\issue 4
\pages 1987--1998
\crossref{https://doi.org/10.1007/BF01465456}
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  • https://www.mathnet.ru/eng/znsl/v86/p66
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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