abstract algebra

American  

noun

1. the branch of mathematics that deals with the extension of algebraic concepts usually associated with the real number system to other, more general systems.

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Example Sentences

In 1964, he solved the Jacobson radical, an abstract algebra problem that had been a mystery since it was posed eight years before.

From Seattle Times • Aug. 21, 2023

The situation is most dire at public colleges, which are the most likely to require abstract algebra as a precondition for a degree in every field, including art and theater.

From Slate • Mar. 1, 2016

Mathematically, the book incorporates complex analysis, Fourier series, abstract algebra, and modern geometry.

From Scientific American • Sep. 14, 2015

Through it all, Noether was a highly prolific mathematician, publishing groundbreaking papers, sometimes under a man’s name, in rarefied fields of abstract algebra and ring theory.

From New York Times • Mar. 26, 2012

Just as some women are taller and stronger than some men, some are swifter at abstract algebra.

From Time Magazine Archive