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Remarks on Division

✍ Scribed by J. K. Ellwood

Book ID
123793984
Publisher
Mathematical Association of America
Year
1894
Tongue
English
Weight
210 KB
Volume
1
Category
Article
ISSN
0002-9890

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πŸ“œ SIMILAR VOLUMES

More Remarks on Division
More Remarks on Division
✍ J. K. Ellwood πŸ“‚ Article πŸ“… 1894 πŸ› Mathematical Association of America 🌐 English βš– 294 KB
Note on Mr. Ellwood's Remarks on Divisio
Note on Mr. Ellwood's Remarks on Division
✍ David Eugene Smith πŸ“‚ Article πŸ“… 1894 πŸ› Mathematical Association of America 🌐 English βš– 217 KB
Remark on Division of Concrete Number
Remark on Division of Concrete Number
✍ C. H. Judson πŸ“‚ Article πŸ“… 1894 πŸ› Mathematical Association of America 🌐 English βš– 241 KB
A remark on divisibility of definable gr
A remark on divisibility of definable groups
✍ MΓ‘rio J. Edmundo πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 89 KB

We show that if G is a definably compact, definably connected definable group defined in an arbitrary o-minimal structure, then G is divisible. Furthermore, if G is defined in an o-minimal expansion of a field, k ∈ N and p k : G -β†’ G is the definable map given by p k (x) = x k for all x ∈ G, then we