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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 Ore algebra ： ウィキペディア英語版 Ore algebra In computer algebra, an Ore algebra is a special kind of iterated Ore extension that can be used to represent linear functional operators, including linear differential and/or recurrence operators. The concept is named after Øystein Ore. == Definition == Let $K$ be a (commutative) field and $A\; =\; K(\backslash ldots,\; x\_s)$ be a commutative polynomial ring (with $A\; =\; K$ when $s\; =\; 0$). The iterated skew polynomial ring $A(\backslash sigma\_1,\; \backslash delta\_1)\; \backslash cdots\; (\backslash sigma\_r,\; \backslash delta\_r)$ is called an Ore algebra when the $\backslash sigma\_i$ and $\backslash delta\_j$ commute for $i\; \backslash neq\; j$, and satisfy $\backslash sigma\_i(\backslash partial\_j)\; =\; \backslash partial\_j$, $\backslash delta\_i(\backslash partial\_j)\; =\; 0$ for $i\; >\; j$. 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「Ore algebra」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.