On -rings
Alessandra Cherubini, Ada Varisco (1988)
Czechoslovak Mathematical Journal
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Alessandra Cherubini, Ada Varisco (1988)
Czechoslovak Mathematical Journal
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Tamizh Chelvam, T., Meenakumari, N. (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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.
Kaplansky, Irving (1951)
Portugaliae mathematica
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H. Subramanian (1969)
Bulletin de la Société Mathématique de France
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