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Details for article 5 of 13 found articles
| Title: |
General p-valuations on abelian groups |
| Author: |
Arnold, David M. Richman, Fred Vinsonhaler, Charles I. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 19 (1991) nr. 11 pages 3075-3088 |
| Year: |
1991 |
| Contents: |
A subgroup of a p-group is valuated in a natural way, and every valuated p-group can be embedded as a valuated subgroup of a p-group. We generalize this theorem to subgroups of p-valuated groups with values in an arbitrary value domain D. The induced valuation on the subgroup assigns to each element an equivalence class of D-valuated rooted trees. In the classical caseD is trivial and the equivalence class of trees can be identified with an extended ordinal. The embedding is functorial if some set-theoretic problems can be overcome, which they can be if D is trivial or equal to the ordinals. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 13 found articles
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