Possible values of some structural parameters of finite commutative local rings
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 261-270
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The author describes all pairs $(l,m)$, where $m$ is the minimal number of generators of the group of units of a finite commutative local ring, and $l$ is the dimension of its field of residues over its prime subfield. Bibliography: 3 titles.
@article{SM_1986_53_1_a12,
author = {V. A. Ratinov},
title = {Possible values of some structural parameters of finite commutative local rings},
journal = {Sbornik. Mathematics},
pages = {261--270},
year = {1986},
volume = {53},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1986_53_1_a12/}
}
V. A. Ratinov. Possible values of some structural parameters of finite commutative local rings. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 261-270. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a12/
[1] Ratinov V. A., Konechnye kommutativnye koltsa so spetsialnymi tipami grupp edinits, Rukopis dep. v VINITI 14.01.80, No 215-80 Dep., MGPI im. V. I. Lenina., M., 1979
[2] Mcdonald Bernard R., Finite rings with identyty, Marcel Dekker, New York, 1974 | MR
[3] Zarisskii O., Samyuel P., Kommutativnaya algebra, T. 1, IL, M., 1963