Remark. It is easy to see that if contains the multiplicative identity , then is a topological ring iff addition and multiplication are continuous. This is true because the additive inverse of an element can be written as the product of the element and . However, if does not contain , it is necessary to impose the continuity condition on the additive inverse operation.
|Date of creation||2013-03-22 12:45:59|
|Last modified on||2013-03-22 12:45:59|
|Last modified by||djao (24)|
|Defines||topological division ring|