Word.ws English Dictionary

algebra over a ring

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

Noun

algebra over a ring (plural algebras over rings)

  1. A module (over a commutative ring R) equipped with a bilinear binary operation taking values in R.
    Synonyms:
    R-algebra

Synonyms of algebra over a ring

  • R-algebra

Forms of algebra over a ring

pluralalgebras over rings

Questions about algebra over a ring

What does algebra over a ring mean?
Algebra over a ring means a module (over a commutative ring R) equipped with a bilinear binary operation taking values in R.
What part of speech is algebra over a ring?
Algebra over a ring is a noun.
What is the plural of algebra over a ring?
The plural of algebra over a ring is algebras over rings.

Words near algebra over a ring in the dictionary

  1. algates
  2. algazel
  3. algazels
  4. algebra
  5. algebra over a field
  6. algebra over a ring
  7. algebraic
  8. algebraic analysis
  9. algebraic closure
  10. algebraic closure operator
  11. algebraic closures

Source and license

Adapted from Wiktionary: algebra over a ring (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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