Idempotents and the multiplicative group of some totally bounded rings

Title:

Idempotents and the multiplicative group of some totally bounded rings

Creator:

Salim, Mohamed A. and Tripe, Adela

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:aee33111-8784-47b7-b7f9-30607144d0cf
uuid:aee33111-8784-47b7-b7f9-30607144d0cf

Subject:

compact ring, group of units, Jacobson radical, left linearly compact ring, Mersenne number, monothetic group, primary ring, summable set, and totally bounded ring

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

509-519

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:2

Harvested from:

CDK

Metadata only:

false