# Boolean ring

In mathematics, a Boolean ring R is a ring for which x2 = x for all x in R, such as the ring of integers modulo 2. That is, R consists only of idempotent elements. Every Boolean ring gives rise to a Boolean algebra, with ring multiplication corresponding to conjunction or meet ∧, and ring addition to exclusive disjunction or symmetric difference (not disjunction ∨, which would constitute a semiring). Boolean rings are named after the founder of Boolean algebra, George Boole.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

boolean | 7 | 449 | 0.795 |

ring | 8 | 15702 | 0.566 |

disjunction | 2 | 89 | 0.266 |