Definition:Ring Less Zero/Also denoted as
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Ring Less Zero: Also denoted as
Most sources use $R^*$ to denote the set of elements of a ring without the zero.
However, this is also used by some sources to mean the group of units of such a ring $R$.
Hence $\mathsf{Pr} \infty \mathsf{fWiki}$ prefers the more explicit notation $\R_{\ne 0}$.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {IV}$: Rings and Fields: $21$. Rings and Integral Domains