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Categories of motives for additive categories. II
Author(s):
A.
V.
Yakovlev
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 20
(2008),
nomer 6.
Journal:
St. Petersburg Math. J.
20
(2009),
1003-1022.
MSC (2000):
Primary 18E05
Posted:
October 2, 2009
MathSciNet review:
2530899
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Additional information
Abstract:
This is a continuation of the paper by the same author published in this journal, v. 19 (2007), no. 6.
References:
-
- 1.
- D. K. Faddeev, An introduction to the multiplicative theory of modules of integral representations, Trudy Mat. Inst. Steklov. 80 (1965), 145-182; English transl. in Proc. Steklov Inst. Math. 1968 (80). MR 0206048 (34:5873)
- 2.
- 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), 135-153; English transl., J. Soviet Math. 57 (1991), no. 6, 3524-3533. MR 1047246 (91e:20038)
- 3.
- A. V. Yakovlev and N'Famara Kamara, Mixed abelian groups of finite rank and their direct decompositions, Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1993, vyp. 2, 57-61; English transl., Vestnik St. Petersburg Univ. Math. 26 (1993), no. 2, 50-53. MR 1370233 (96k:20112)
- 4.
- A. V. Yakovlev, The categories of motives for additive categories. I, Algebra i Analiz 19 (2007), no. 6, 173-183; English transl., St. Petersburg Math. J. 19 (2008), no. 6, 995-1002. MR 2411964 (2009c:18005)
- 5.
- C. Faith, Algebra: rings, modules and categories. I, Grundlehren Math. Wiss., Bd. 190, Springer-Verlag, New York-Heidelberg, 1973. MR 0366960 (51:3206)
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Additional Information:
A.
V.
Yakovlev
Affiliation:
Mathematics and Mechanics Department, St. Petersburg University, Petrodvorets, 198904 St. Petersburg, Russia
Email:
yakovlev.anatoly@gmail.com
DOI:
10.1090/S1061-0022-09-01082-6
PII:
S 1061-0022(09)01082-6
Keywords:
Category,
torsion,
$l$-periodic objects,
potential factoring through the periodic part.
Received by editor(s):
6/JUN/2008
Posted:
October 2, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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