associative algebra

noun

An algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is associative.

Meanings

nounassociative algebra (plural associative algebras)

plural associative algebras

  1. algebraAn algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is associative.

    Synonyms: linear algebra

Synonyms & antonyms

nounAn algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is associative.

Cite this entry
APA

associative algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/associative%20algebra

MLA

“associative algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/associative%20algebra. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “associative algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/associative%20algebra.

Source: associative algebra on Wiktionary, CC BY-SA 4.0.