Irreducible cosets
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…6, -5, 8, 9, -2, and -1 are also cosets. A class of integers relatively prime to m is called an irreducible coset, and the set of integers obtained by selecting one element each from each class is called an irreducible coset. When m = 6, 1, 5 are irreducible cosets. … From [Number Theory]...The set is called a coset modulo m . Among the cosets, the class consisting of integers relatively prime to modulo m is called an irreducible coset. The number of irreducible cosets modulo m is denoted by φ( m ), and φ is called Euler's function. ... *Some of the terminology explanations that mention "irreduced cosets" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
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…また，6，－5,8,9，－2，－1も剰余系である。mと互いに素な整数からなる類を既約剰余類といい，その各類から一つずつ元を選び出して得られた整数の組を既約剰余系という。m＝6のとき，1,5は既約剰余系である。… 【整数論】より…その組をmを法とする剰余類という。剰余類の中で，法mと互いに素な整数からなる類を既約剰余類という。法mの既約剰余類の個数をφ(m)で表し，φをオイラーの関数という。… ※「既約剰余類」について言及している用語解説の一部を掲載しています。 出典｜株式会社平凡社世界大百科事典 第２版について | 情報 |
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