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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Skew lattice ： ウィキペディア英語版 Skew lattice In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice. While the term ''skew lattice'' can be used to refer to any non-commutative generalization of a lattice, over the past twenty years it has been used primarily as follows. ==Definition== A skew lattice is a set ''S'' equipped with two associative, idempotent binary operations $\backslash wedge$ and $\backslash vee$, called ''meet'' and ''join'', that satisfy the following dual pair of absorption laws $x\backslash wedge\; (x\backslash vee\; y)\; =\; x\; =\; (y\backslash vee\; x)\backslash wedge\; x$ and $x\backslash vee\; (x\backslash wedge\; y)\; =\; x\; =\; (y\backslash wedge\; x)\backslash vee\; x$. Given that $\backslash vee$ and $\backslash wedge$ are associative and idempotent, these identities are equivalent to the dualities: $x\backslash vee\; y=\; x$ iff $x\backslash wedge\; y=y$ and $x\backslash wedge\; y=x$ iff $x\backslash vee\; y=y$.〔Leech, J, Skew lattices in rings, Algebra Universalis, 26(1989), 48-72.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Skew lattice」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.