Commutative Semilocal Rings Whose Additive or Multiplicative Groups Have Finite Rank |
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| Authors: | M. Kechlibar T. Kepka J. Kortelainen |
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| Affiliation: | 1. KA MFF-UK , Prague, Czech Republic krypto@karlin.mff.cuni.cz;3. KA MFF-UK , Prague, Czech Republic;4. Department of Information Processing Science , University of Oulu , Oulu, Finland |
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| Abstract: | ABSTRACT Let R be an infinite semilocal ring. Then R is not finitely generated, neither the additive group R(+), nor the multiplicative group R? (of invertible elements) is minimax and at least one of these groups has infinite Prüfer rank. |
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