nLab trivial ring

Contents

Context

Algebra

higher algebra

universal algebra

Contents

Definition

The trivial ring, or zero ring, is the ring with a single element, which is both $0$ and $1$.

One usually denote the trivial ring as $0$ or $\{0\}$, even though $1$ or $\{1\}$ would make as much sense.

References

Last revised on May 26, 2022 at 00:09:50. See the history of this page for a list of all contributions to it.