division ring

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division ring

noun division rings

A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1.
Similar: skew field

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noun algebraic concept

Français	anneau à division, corps gauche, corps non commutatif, corps

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MLA

"division ring." Wiktionary, via Micwyn, micwyn.com/word/division%20ring. Accessed 6 Nov. 2026.

APA

division ring. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/division%20ring

Chicago

"division ring." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/division%20ring.

BibTeX

@misc{division_ring_2026,
  title = {division ring},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/division%20ring},
  urldate = {2026-11-06}
}