ログインすると広告が減り、学習に集中できます。
広告
検索結果- 英語 - 多言語
algebra over a field
名詞
(algebra) A vector space (over some field) with an additional binary operation, a vector-valued product between vectors, which is bilinear over vector addition and scalar multiplication. (N.B.: such bilinearity implies distributivity of the vector multiplication with respect to the vector addition, which means that such a vector space is also a ring.)
日本語の意味
体上代数とは、ある体上で定義されたベクトル空間において、ベクトル間の積（すなわち二項演算）が加法およびスカラー倍に対して両線形となる構造を持つものを指す。 / この両線形性により、ベクトル積は分配法則を満たし、その結果、このベクトル空間は環の構造も備える。
英語の意味
(algebra) A vector space (over some field) with an additional binary operation, a vector-valued product between vectors, which is bilinear over vector addition and scalar multiplication. (N.B.: such bilinearity implies distributivity of the vector multiplication with respect to the vector addition, which means that such a vector space is also a ring.)
関連語
