Boolean ring

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noun Mathematics.

a nonempty collection of sets having the properties that the union of two sets of the collection is a set in the collection and that the relative complement of each set with respect to any other set is in the collection.

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Compare algebra of sets.

Origin of Boolean ring

1935–40; named after G. Boole; see -an

Words nearby Boolean ring

bool, Boole, Boolean, Boolean algebra, Boolean operation, Boolean ring, Boolean sum, Boole's inequality, boom, boom-and-bust, boom box

How to use Boolean ring in a sentence

A lot of people ring in the New Year with vows to lose weight and exercise.
How Skinny Is Too Skinny? Israel Bans ‘Underweight’ Models|Carrie Arnold|January 8, 2015|DAILY BEAST
These brave souls took an icy dip in the ocean to ring in 2015 and raise money for charity.
Diving Into 2015 With Polar Bear Plunge Extremists|James Joiner|January 1, 2015|DAILY BEAST
Some things never change as we wring out the old year and ring in the new one.
New Year’s Eve, Babylon Style|Candida Moss|December 31, 2014|DAILY BEAST
What was this human being fighting for everywhere but inside a ring?
The Life and Hard Times Of The Family A Cuban Defector Left Behind|Brin-Jonathan Butler|December 19, 2014|DAILY BEAST

They opened for acts like Elliott Smith, Sloan, and Promise Ring.
OK Go Is Helping Redefine the Music Video For the Internet Age|Lauren Schwartzberg|December 15, 2014|DAILY BEAST
When Yima pressed the earth with this ring, the genius of the Earth, Aramaîti, responded to his wish and order.
Solomon and Solomonic Literature|Moncure Daniel Conway
I plainly heard a noise upon the cover of my closet like that of a cable, and the grating of it as it passed through the ring.
Gulliver's Travels|Jonathan Swift
I desired the captain would please to accept this ring in return of his civilities, which he absolutely refused.
Gulliver's Travels|Jonathan Swift
Whoever succeeded in getting the ring on his stick won the game, and carried the prize home as a sign of victory.
Our Little Korean Cousin|H. Lee M. Pike
I remember feeling in his pocket for the ring, and as I did so, I felt a hand grasp mine for a moment.
Uncanny Tales|Various