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Nov 29, 2016 at 15:34 comment added M.G. Thanks! I have a feeling this is probably as standard notation as it gets.
Nov 29, 2016 at 14:40 comment added Gro-Tsen I think if I had to come up with a notation, I would use $\mathbb{Z}\langle R,X\rangle$ (possibly replacing $\mathbb{Z}$ by whatever does commute with everything, if something does). By this I mean "the ring freely generated over $\mathbb{Z}$ by the elements of $R$ (subject to their usual relations) and the extra element $X$ (with no relation involving it)".
Nov 29, 2016 at 14:17 answer added HeinrichD timeline score: 2
Nov 29, 2016 at 14:14 history asked M.G. CC BY-SA 3.0