Principal-ideal


noun, Mathematics.
1.
the smallest ideal containing a given element in a ring; an ideal in a ring with a multiplicative identity, obtained by multiplying each element of the ring by one specified element.

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    noun, Mathematics. 1. a commutative integral domain with multiplicative identity in which every ideal is principal.

  • Principalities

    [prin-suh-pal-i-tee] /ˌprɪn səˈpæl ɪ ti/ noun, plural principalities. 1. a state ruled by a prince, usually a relatively small state or a state that falls within a larger state such as an empire. 2. the position or authority of a prince or chief ruler; sovereignty; supreme power. 3. the rule of a prince of a […]

  • Principality

    [prin-suh-pal-i-tee] /ˌprɪn səˈpæl ɪ ti/ noun, plural principalities. 1. a state ruled by a prince, usually a relatively small state or a state that falls within a larger state such as an empire. 2. the position or authority of a prince or chief ruler; sovereignty; supreme power. 3. the rule of a prince of a […]

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