A note on rings of continuous functions.
Yang, J.S. (1978)
International Journal of Mathematics and Mathematical Sciences
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Yang, J.S. (1978)
International Journal of Mathematics and Mathematical Sciences
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M. Shanks, Seth Warner (1976)
Fundamenta Mathematicae
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Fechete, I. (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ursul, Mihail (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Zaks, Abraham (1973)
Portugaliae mathematica
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Mohamed A. Salim, Adela Tripe (2011)
Czechoslovak Mathematical Journal
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In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Artemovych, O.D. (2002)
Mathematica Pannonica
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