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splitting field

American  

noun

Mathematics.

  1. a field containing a given field in which every polynomial can be written as the product of linear factors.

Etymology

Origin of splitting field

First recorded in 1960–65

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.