Topological groups and integer-valued norms
โ Scribed by R.C Hooper
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 772 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
Let A be a Dedekind domain with finite residue fields, K it's quotient field, L a finite separable extension of K, and B the integral closure of A in L. The rings of integer-valued polynomials on A and B are known to be Pru fer domains and will be denoted by Int(A) and Int(B), respectively. We will
Let \(R\) be a Dedekind domain with field of fractions \(K, L=K(x)\) a finite separable extension of \(K\), and \(S\) the integral closure of \(R\) in \(L\). Let \(I\) be the subring of \(K[X]\) consisting of all polynomials \(g(x)\) in \(K[X]\) such that \(g(R) \subset R\), and let \(E_{x}: I \righ
A semitopological group (topological group) is a group endowed with a topology for which multiplication is separately continuous (multiplication is jointly continuous and inversion is continuous). In this paper we give some topological conditions on a semitopological group that imply that it is a to