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The group of units in a compact ring

✍ Scribed by Jo-Ann Cohen; Kwangil Koh


Book ID
107816468
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
845 KB
Volume
54
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES


Compact rings having a finite simple gro
✍ Jo-Ann Cohen; Kwangil Koh πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 995 KB

For a compact Hausdorff ring, one observes that the group of units is a totally disconnected compact topological group and is a finite simple group if and only if it possesses no nontrivial closed normal subgroups. Three classification theorems for compact rings are now given. First, those compact r

Group of units in a finite ring
✍ David DolzΜ†an πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 94 KB

Let G be any group with n elements, where n is a power of a prime or any product of prime powers, not divisible by 4. In this paper we ΓΏnd all nonisomorphic rings with its group of units isomorphic to G and also ΓΏnd all groups G with n elements which can be groups of units of a ΓΏnite ring. We say th