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Sbornik: Mathematics, 1996, Volume 187, Issue 7, Pages 1005–1019
DOI: https://doi.org/10.1070/SM1996v187n07ABEH000144
(Mi sm144)
 

This article is cited in 8 scientific papers (total in 8 papers)

Cones in groups

T. V. Dubrovina, N. I. Dubrovin

Vladimir State University
References:
Abstract: The structure of ideals of a cone PP in a group GG is studied. The case when there is a single completely prime ideal in PP is studied in full. Corresponding examples are constructed using the universal covering group of the special linear group of 2×22×2-matrices over R.
Received: 23.06.1993
Bibliographic databases:
UDC: 512.8
MSC: Primary 20Fxx; Secondary 20F60, 06F15
Language: English
Original paper language: Russian
Citation: T. V. Dubrovina, N. I. Dubrovin, “Cones in groups”, Sb. Math., 187:7 (1996), 1005–1019
Citation in format AMSBIB
\Bibitem{DubDub96}
\by T.~V.~Dubrovina, N.~I.~Dubrovin
\paper Cones in groups
\jour Sb. Math.
\yr 1996
\vol 187
\issue 7
\pages 1005--1019
\mathnet{http://mi.mathnet.ru/eng/sm144}
\crossref{https://doi.org/10.1070/SM1996v187n07ABEH000144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1404187}
\zmath{https://zbmath.org/?q=an:0867.06007}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030529065}
Linking options:
  • https://www.mathnet.ru/eng/sm144
  • https://doi.org/10.1070/SM1996v187n07ABEH000144
  • https://www.mathnet.ru/eng/sm/v187/i7/p59
  • This publication is cited in the following 8 articles:
    1. 修灿 陆, “Subrings of Graded Extensions in <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mstyle mathvariant='bold' mathsize='normal'><mi>K</mi></mstyle><msup> <mi>ℤ</mi> <mrow> <mrow><mo>(</mo> <mstyle mathvariant='bold' mathsize='normal'><mi>n</mi></mstyle> <mo>)</mo></mrow></mrow> </msup> </mrow> </math>”, PM, 15:02 (2025), 93  crossref
    2. N. I. Dubrovin, “Rational operators of the space of formal series”, J. Math. Sci., 149:3 (2008), 1191–1223  mathnet  crossref  mathscinet  zmath  elib  elib
    3. Brungs, HH, “A classification and examples of rank one chain domains”, Transactions of the American Mathematical Society, 355:7 (2003), 2733  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
    4. T. V. Dubrovina, N. I. Dubrovin, “On braid groups”, Sb. Math., 192:5 (2001), 693–703  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. N. I. Dubrovin, “Formal sums and power series over a group”, Sb. Math., 191:7 (2000), 955–971  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Brungs, HH, “A classification of prime segments in simple artinian rings”, Proceedings of the American Mathematical Society, 128:11 (2000), 3167  crossref  mathscinet  zmath  isi
    7. Hans-Heinrich Brungs, Günter Törner, “ASSOCIATIONS AND VALUATIONS”, Quaestiones Mathematicae, 22:3 (1999), 353  crossref
    8. Brungs, HH, “Ideal theory of right cones and associated rings”, Journal of Algebra, 210:1 (1998), 145  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:493
    Russian version PDF:216
    English version PDF:90
    References:74
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