The group of units in a compact ring
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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