| 单词 | principal ideal |
| 释义 | > as lemmasprincipal ideal principal ideal n. Mathematics an ideal (ideal n. 4) all of whose elements can be generated by multiplying a given member of the associated ring by each member (including itself) in turn. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > ring ideal1898 principal ideal1901 ring1915 subring1917 skew field1965 1901 Amer. Jrnl. Math. 23 70 Determining whether a given principal ideal be the pth power of a principal ideal, where p is a prime number. 1965 J. J. Rotman Theory of Groups iv. 66 A principal ideal domain is a domain in which every ideal is a principal ideal. 1970 D. M. Burton First Course in Rings & Ideals ii. 19 An ideal (a) generated by just one ring element is termed a principal ideal. < as lemmas |
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