Word.ws English Dictionary

polynomial rings

polynomial rings is the plural of polynomial ring.

Meaning of polynomial ring

Noun

polynomial ring (plural polynomial rings)

  1. A ring (which is also a commutative algebra), denoted K[X], formed from the set of polynomials (usually of one variable, in a given set, X), with coefficients in a given ring (often a field), K.
    • It then follows that if A is a graded ring over a local ring, A is a homomorphic image of a polynomial ring over a regular local ring. For the sake of brevity, we refer to a graded polynomial ring over a regular local ring simply as a graded polynomial ring.1998, Paul C. Roberts, Multiplicities and Chern Classes in Local Algebra, Cambridge University Press, page 270

Questions about polynomial rings

What is polynomial rings the plural of?
Polynomial rings is the plural of polynomial ring.

Words near polynomial rings in the dictionary

  1. polynomial function
  2. polynomial functions
  3. polynomial reduction
  4. polynomial reductions
  5. polynomial ring
  6. polynomial rings
  7. polynomial time
  8. polynomial-time reduction
  9. polynomial-time reductions
  10. polynomialism
  11. polynomialist

Source and license

Adapted from Wiktionary: polynomial rings (page history and authors); polynomial 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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