left ideal

noun

A subset of a ring which is closed under left-multiplication by any element of the ring.

“If I is a left ideal of R then rI⊆I for any r isin R.”

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Meanings

nounleft ideal (plural left ideals)

plural left ideals

  1. algebraA subset of a ring which is closed under left-multiplication by any element of the ring.

    If I is a left ideal of R then rI⊆I for any r isin R.

Cite this entry
APA

left ideal. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/left%20ideal

MLA

“left ideal.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/left%20ideal. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “left ideal,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/left%20ideal.

Source: left ideal on Wiktionary, CC BY-SA 4.0.