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fractional ideals

fractional ideals is the plural of fractional ideal.

Meaning of fractional ideal

Noun

fractional ideal (plural fractional ideals)

  1. (ring theory) Given an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R.
    • Products of fractional ideals are again fractional ideals, since if A#92;alpha#92;subseteqR and B#92;beta#92;subseteqR, then (AB)(#92;alpha#92;beta)#92;subseteqR.1994, I. Martin Isaacs, Algebra: A Graduate Course, American Mathematical Society, page 476
    Synonyms:
    R-submodule of Frac(R) such that for some nonzero r∈R, rI ⊆ R

Questions about fractional ideals

What is fractional ideals the plural of?
Fractional ideals is the plural of fractional ideal.

Words near fractional ideals in the dictionary

  1. fractional distillation
  2. fractional distillations
  3. fractional freezing
  4. fractional freezings
  5. fractional ideal
  6. fractional ideals
  7. fractional number
  8. fractional numbers
  9. fractional reserve banking
  10. fractional rig
  11. fractional volume

Source and license

Adapted from Wiktionary: fractional ideals (page history and authors); fractional ideal (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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