integral domain

noun

Definition of integral domain

: a mathematical ring in which multiplication is commutative, which has a multiplicative identity element, and which contains no pair of nonzero elements whose product is zero the integers under the operations of addition and multiplication form an integral domain

First Known Use of integral domain

1937, in the meaning defined above

Keep scrolling for more

Learn More about integral domain

Time Traveler for integral domain

Time Traveler

The first known use of integral domain was in 1937

See more words from the same year

Statistics for integral domain

Cite this Entry

“Integral domain.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/integral%20domain. Accessed 15 Aug. 2020.

More from Merriam-Webster on integral domain

Britannica.com: Encyclopedia article about integral domain

Comments on integral domain

What made you want to look up integral domain? Please tell us where you read or heard it (including the quote, if possible).

WORD OF THE DAY

Test Your Vocabulary

Name That Thing: Animal Edition

  • alt 5a023732e6f75
  • Name that animal:
Spell It

Can you spell these 10 commonly misspelled words?

TAKE THE QUIZ
Add Diction

Test Your Knowledge - and learn some interesting things along the way.

TAKE THE QUIZ
Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!