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

But the shelves contained several well-known computer-science titles, presumably donated by new graduates, and Lisa, noting Michael Artin’s seminal “Algebra,” the textbook assigned in most introductory abstract algebra courses, hummed her approval.

From New York Times • Mar. 12, 2014

Introduced in 1880 by John Venn, the diagram allows a geometrical representation of otherwise abstracted logic and algebraic forms, and has many applications in probability theory, topology, abstract algebra, algebraic-geometry, and high-level logic.

From Scientific American • Mar. 22, 2013

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

From Time Magazine Archive