Talk:Topological ring
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Some examples for the "completion" section could be given and/or developed (Q leading to R, the cited examples of formal power series etc. (explain "certain")).— MFH: Talk 16:34, 30 September 2005 (UTC)
[edit] Definition
Does the definition of a topological ring not include the inverse operations being continuous maps (as is the case for a topological group)? --expensivehat 19:39, 14 July 2006 (UTC)
- A ring only has an inverse operation for addition, and this is the same as multiplication by -1. So the continuity of the inverse operation follows from the continuity of multiplication. --Zundark 08:28, 16 August 2006 (UTC)