Displaying similar documents to “Order completions of semiprime rings”

P -clean rings.

Chen, Weixing (2006)

International Journal of Mathematics and Mathematical Sciences

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Idempotents and the multiplicative group of some totally bounded rings

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 2 ℵ 0 commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.