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Categories of motives for additive categories. I
Author(s):
A.
V.
Yakovlev
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 19
(2007),
nomer 6.
Journal:
St. Petersburg Math. J.
19
(2008),
995-1002.
MSC (2000):
Primary 13C99, 18E05
Posted:
August 22, 2008
MathSciNet review:
2411964
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References |
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Additional information
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:
-
- 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. No. 80 (1968). MR 0206048 (34:5873)
- 2.
- A. V. Yakovlev, Torsion-free Abelian groups of finite rank and their direct decompositions, Zap. Nauchn. Sem. S.-Peterburg. 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)
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Additional 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
DOI:
10.1090/S1061-0022-08-01032-7
PII:
S 1061-0022(08)01032-7
Keywords:
Additive category,
category of motives,
genus,
almost indecomposable object
Received by editor(s):
10/OCT/2007
Posted:
August 22, 2008
Dedicated:
Dedicated to the centenary of the birth of Dmitriĭ Konstantinovich Faddeev
Copyright of article:
Copyright
2008,
American Mathematical Society
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