abstract algebra

noun

Definition of abstract algebra

: a branch of mathematics in which algebraic concepts are generalized by using symbols to represent basic arithmetical operations Abstract algebra courses introduce students to advanced mathematical concepts such as group theory and lattices.

Examples of abstract algebra in a Sentence

Recent Examples on the Web The mathematician who follows the ice queen often dislikes concrete applications or specific cases — Alexander Grothendieck, one of the high priests of abstract algebra, once famously picked 57 as an example of a prime number. Quanta Magazine, "The Two Forms of Mathematical Beauty," 16 June 2020 Five of them will be taking college courses in differential equations, abstract algebra and discrete mathematics as 10th-graders at Pasadena High School this fall. Jay Mathews, Washington Post, "Why are so many 8th-graders taking AP Calculus at this school district?," 6 July 2019 Complete high school math, including calculus, in middle school and devote high school to more complex subjects: multivariable calculus, abstract algebra, probability, game theory and other college subjects. Jay Mathews, Washington Post, "Calculus for eighth-graders? It’s the differential in one school system.," 17 Sep. 2017 At the height of her mathematical powers, doing new work on abstract algebra, Noether died after an operation on an ovarian cyst. Kat Eschner, Smithsonian, "Mathematician Emmy Noether Should Be Your Hero," 23 Mar. 2017

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'abstract algebra.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

See More

First Known Use of abstract algebra

1859, in the meaning defined above

Keep scrolling for more

Learn More about abstract algebra

Time Traveler for abstract algebra

Time Traveler

The first known use of abstract algebra was in 1859

See more words from the same year

Statistics for abstract algebra

Last Updated

23 Jun 2020

Cite this Entry

“Abstract algebra.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/abstract%20algebra. Accessed 5 Jul. 2020.

Comments on abstract algebra

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

WORD OF THE DAY

See Definitions and Examples »

Get Word of the Day daily email!

Test Your Vocabulary

A More Exception(al) Quiz

  • hot dog  hot dog  hot dog  hot dog cat
  • Which of the following words is not a synonym for ‘a young person’?
Spell It

Can you spell these 10 commonly misspelled words?

TAKE THE QUIZ
Dictionary Devil

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!