Word.ws English Dictionary

product rings

product rings is the plural of product ring.

Meaning of product ring

Noun

product ring (plural product rings)

  1. (ring theory) A ring that is the direct product of rings.
    • For instance, let X be an infinite set, R the product ring K^(XY)#92;#33;, and A the set of homomorphisms R#92;rightarrowK given by evaluation at all the elements of X. Then the hypothesis of the Lemma holds, but #92;text#123;Int#125;#95;A(R) is the product ring k^(XY)#92;#33;, which is not in...1996, George M. Bergman, Adam O. Hausknecht, Cogroups and Co-rings in Categories of Associative Rings, American Mathematical Society, page 246
    Synonyms:
    direct product ring

Questions about product rings

What is product rings the plural of?
Product rings is the plural of product ring.

Words near product rings in the dictionary

  1. product range
  2. product ranges
  3. product recall
  4. product recalls
  5. product ring
  6. product rings
  7. product rule
  8. product sample
  9. product samples
  10. product topologies
  11. product topology

Source and license

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

Last updated:

Cite this entry: “product rings.” Word.ws, https://word.ws/product_rings. Based on Wiktionary, CC BY-SA 4.0.