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1. Idempotents and the multiplicative group of some totally bounded rings

Creator:
Salim, Mohamed A. and Tripe, Adela
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
compact ring, group of units, Jacobson radical, left linearly compact ring, Mersenne number, monothetic group, primary ring, summable set, and totally bounded ring
Language:
English
Description:
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 $2^{\aleph _0}$ commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public