The sum of units of an integral domain d, is a unit in
d.
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Hi mate
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Let AA be a ring and u,v∈A×u,v∈A×. When do we have that u+v∈A×u+v∈A×?
I think that A is needed to be an integral domain. For example consider Z/6Z/6. Both 11 and 55 is a unit but their sum 1+5=01+5=0 is not a unit.
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