Sbornik. Mathematics, Tome 37 (1980) no. 3, pp. 441-449
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G. P. Shestakova. Homological determination of modules with torsion. Sbornik. Mathematics, Tome 37 (1980) no. 3, pp. 441-449. http://geodesic.mathdoc.fr/item/SM_1980_37_3_a10/
@article{SM_1980_37_3_a10,
author = {G. P. Shestakova},
title = {Homological determination of modules with torsion},
journal = {Sbornik. Mathematics},
pages = {441--449},
year = {1980},
volume = {37},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1980_37_3_a10/}
}
TY - JOUR
AU - G. P. Shestakova
TI - Homological determination of modules with torsion
JO - Sbornik. Mathematics
PY - 1980
SP - 441
EP - 449
VL - 37
IS - 3
UR - http://geodesic.mathdoc.fr/item/SM_1980_37_3_a10/
LA - en
ID - SM_1980_37_3_a10
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%0 Journal Article
%A G. P. Shestakova
%T Homological determination of modules with torsion
%J Sbornik. Mathematics
%D 1980
%P 441-449
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%N 3
%U http://geodesic.mathdoc.fr/item/SM_1980_37_3_a10/
%G en
%F SM_1980_37_3_a10
This article is devoted to clearing up the question of the homological determination of modules with torsion over a ring with a power basis. The results are used to study the group of principal units in a cyclic extension of a local ring. Bibliography: 4 titles.
[1] A. V. Yakovlev, “Gomologicheskaya opredelennost $p$-adicheskikh predstavlenii kolets so stepennym bazisom”, Izv. AN SSSR, seriya matem., 34 (1970), 1000–1014 | Zbl
[2] Nguen Kui Zi, “O gomologicheskoi opredelennosti modulei s krucheniem”, Vestnik LGU, 1974, no. 19, 59–63 | Zbl
[3] D. A. Buchsbaum, “Exact categories and duality”, Trans. Amer. Math. Soc., 80 (1955), 1–34 ; A. Kartan, S. Eilenberg, Gomologicheskaya algebra, IL, Moskva, 1960 | DOI | MR | Zbl
[4] Z. I. Borevich, E. L. Gerlovin, “Stroenie gruppy glavnykh edinits tsiklicheskogo $p$-rasshireniya lokalnogo polya”, Zapiski nauchnykh seminarov LOMI, 57 (1976), 51–63 | MR | Zbl
