Definition talk:Center (Abstract Algebra)/Ring

I think the group is not $R$, but $R^*$, to avoid finding an inverse for the zero under multiplication. -- Lord Farin


 * No, anon edit was correct - only a group when R is a division ring. General field and it's only a semigroup. If anything, this question could be raised in the context of the "subgroup of units", perhaps.


 * It also raises the question about whether it makes sense to discuss the cener of any general semigroup - well, it does look as though it can be described, but whether it makes any actual sense or yield any interesting results is a different question. For some semigroups it may indeed be empty. --prime mover 02:50, 31 October 2011 (CDT)


 * Don't know why this has been left to fester for so long. The obvious way to define this is as the center of a semigroup. The definition is obvious and apparent, and even Wikipedia has it. --prime mover (talk) 20:49, 27 March 2022 (UTC)