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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Categories of motives for additive categories. I
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by A. V. Yakovlev
Translated by: the author
St. Petersburg Math. J. 19 (2008), 995-1002
DOI: https://doi.org/10.1090/S1061-0022-08-01032-7
Published electronically: August 22, 2008

Abstract:

In line with the development of a theme of a classical paper by D. K. Faddeev, motivic extensions of certain additive categories are studied.
References
  • D. K. Faddeev, An introduction to the multiplicative theory of modules of integral representations, Trudy Mat. Inst. Steklov. 80 (1965), 145–182 (Russian). MR 0206048
  • A. V. Yakovlev, Torsion-free abelian groups of finite rank and their direct decompositions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 175 (1989), no. Kol′tsa i Moduli. 3, 135–153, 165 (Russian); English transl., J. Soviet Math. 57 (1991), no. 6, 3524–3533. MR 1047246, DOI 10.1007/BF01100125
  • A. V. Yakovlev and N’Famara Kamara, Mixed abelian groups of finite rank and their direct decompositions, Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. vyp. 2 (1993), 57–61, 125 (Russian, with English and Russian summaries); English transl., Vestnik St. Petersburg Univ. Math. 26 (1993), no. 2, 50–53. MR 1370233
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Bibliographic Information
  • A. V. Yakovlev
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospekt 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
  • Email: yakovlev.anatoly@gmail.com
  • Received by editor(s): October 10, 2007
  • Published electronically: August 22, 2008

  • Dedicated: Dedicated to the centenary of the birth of Dmitriĭ Konstantinovich Faddeev
  • © Copyright 2008 American Mathematical Society
  • Journal: St. Petersburg Math. J. 19 (2008), 995-1002
  • MSC (2000): Primary 13C99, 18E05
  • DOI: https://doi.org/10.1090/S1061-0022-08-01032-7
  • MathSciNet review: 2411964