[代數] maximal element 寫錯了嗎?
http://mathworld.wolfram.com/MaximalElement.html
Let (A,<=) be a partially ordered set. Then an element m in A is said to be
maximal if, for all a in A, m!<=a. Alternatively, an element m in A is
maximal such that if m<=a for any a in A, then m=a.
感覺定義寫錯了。
寫成"有一個元素不小於偏序集A裡的其他元素,則該元素稱為極大元素"才對吧?
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阿,應該寫"若有一個元素不小於偏序集A裡的其他元素,則該元素稱為極大元素",
漏了一個若字 xd
※ 編輯: alfadick 來自: 220.136.210.30 (09/15 20:31)
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另外想問 POSET 如果有 greatest element,
則它必定為 TOSET 嗎?
※ 編輯: alfadick 來自: 220.136.210.30 (09/15 23:35)
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