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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 125(167), Number 2(10), Pages 259–268 (Mi sm2081)

Possible values of some structural parameters of finite commutative local rings

V. A. Ratinov


Abstract: 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.

UDC: 512.7

MSC: 13M05, 13H99

Received: 25.03.1983 and 23.05.1984


 English version:
Mathematics of the USSR-Sbornik, 1986, 53:1, 261–270

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