Meanings
plural algebras over rings
- 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.
Cite this entry
algebra over a ring. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/algebra%20over%20a%20ring
“algebra over a ring.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/algebra%20over%20a%20ring. Accessed November 5, 2026.
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.