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Profinite integer : ウィキペディア英語版 | Profinite integer In mathematics, a profinite integer is an element of the ring : where ''p'' runs over all prime numbers, is the ring of ''p''-adic integers and (profinite completion). Example: Let of order ''q''. Then is the ring of finite adeles of where the prime ' means restricted product.〔http://math.stackexchange.com/questions/233136/questions-on-some-maps-involving-rings-of-finite-adeles-and-their-unit-groups〕 There is a canonical paring : induced by .〔K. Conrad, (The character group of Q )〕 The pairing identifies . == See also ==
*supernatural number
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