On generalized periodic-like rings.
Bell, Howard E., Yaqub, Adil (2007)
International Journal of Mathematics and Mathematical Sciences
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Bell, Howard E., Yaqub, Adil (2007)
International Journal of Mathematics and Mathematical Sciences
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Tominaga, Hisao (1985)
International Journal of Mathematics and Mathematical Sciences
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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.
Fisher, Joe W., Fahmy, Mohamed H. (1985)
International Journal of Mathematics and Mathematical Sciences
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Guo, Xiuzhan (1995)
International Journal of Mathematics and Mathematical Sciences
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A. Widiger (1983)
Fundamenta Mathematicae
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Bell, Howard E. (1986)
International Journal of Mathematics and Mathematical Sciences
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Gupta, Vishnu (1994)
International Journal of Mathematics and Mathematical Sciences
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Walter Streb (1988)
Rendiconti del Seminario Matematico della Università di Padova
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