英语词汇“abelian equation”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Abelian equation n. [after German Abelsche Gleichung (L. Kronecker 1853, in Monatsberichte der Königl. Preussischen Akad. der Wissenschaften zu Berlin 368)] a polynomial equation whose Galois group is commutative or (in early use) cyclic.

ΚΠ

1861 Rep. Brit. Assoc. Advancem. Sci. 1860 156 As we can always express the roots of an Abelian equation by radicals.., so also the solution of an Abelian congruence depends ultimately on the solution of binomial congruences.

1922 Ann. Math. 23 281 Every root of this equation may be expressed as a rational integral function of any one assigned root; it is therefore an Abelian equation and can be solved by radicals.

2005 D. Berlinski Infinite Ascent (2008) vi. 88 The cyclotomic equations, special cases of the more general Abelian equation xⁿ − 1 = 0.

单词	abelian equation
释义	> as lemmas Abelian equation Abelian equation n. [after German Abelsche Gleichung (L. Kronecker 1853, in Monatsberichte der Königl. Preussischen Akad. der Wissenschaften zu Berlin 368)] a polynomial equation whose Galois group is commutative or (in early use) cyclic. ΚΠ 1861 Rep. Brit. Assoc. Advancem. Sci. 1860 156 As we can always express the roots of an Abelian equation by radicals.., so also the solution of an Abelian congruence depends ultimately on the solution of binomial congruences. 1922 Ann. Math. 23 281 Every root of this equation may be expressed as a rational integral function of any one assigned root; it is therefore an Abelian equation and can be solved by radicals. 2005 D. Berlinski Infinite Ascent (2008) vi. 88 The cyclotomic equations, special cases of the more general Abelian equation xⁿ − 1 = 0. extracted from Abelianadj. < as lemmas
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> as lemmas