Word.ws English Dictionary

simple rings

simple rings is the plural of simple ring.

Meaning of simple ring

Noun

simple ring (plural simple rings)

  1. (ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself).
    • Theorem 2. A semi-simple ring #92;mathfrak#123;A#125; satisfying the minimum condition can be decomposed in only one way as a direct sum of ideals which are simple rings.1956, Nathan Jacobson, Structure of Rings, American Mathematical Society, page 43

Questions about simple rings

What is simple rings the plural of?
Simple rings is the plural of simple ring.

Words near simple rings in the dictionary

  1. simple pendulums
  2. simple present
  3. simple presents
  4. simple quadruple time
  5. simple ring
  6. simple rings
  7. simple root
  8. simple roots
  9. simple sentence
  10. simple sentences
  11. Simple Simon

Source and license

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