two-sided ideal

noun

A subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis.

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ideal
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Meanings

nountwo-sided ideal (plural two-sided ideals)

plural two-sided ideals

  1. algebraA subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis.

    Synonyms: ideal

Synonyms & antonyms

nounA subset of a ring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis.

Similar
ideal
Cite this entry
APA

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

MLA

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

Chicago

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

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