algebra over a ring

noun

A module (over a commutative ring R) equipped with a bilinear binary operation taking values in R.

Similar
R-algebra

Meanings

nounalgebra over a ring (plural algebras over rings)

plural algebras over rings

  1. algebraA module (over a commutative ring R) equipped with a bilinear binary operation taking values in R.

    Synonyms: R-algebra

Synonyms & antonyms

nounA module (over a commutative ring R) equipped with a bilinear binary operation taking values in R.

Similar
R-algebra
Also see
Cite this entry
APA

algebra over a ring. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/algebra%20over%20a%20ring

MLA

“algebra over a ring.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/algebra%20over%20a%20ring. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “algebra over a ring,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/algebra%20over%20a%20ring.

Source: algebra over a ring on Wiktionary, CC BY-SA 4.0.