associative algebra

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(algebra) A vector space over some field which also has an associative vector-valued multiplication operator between vectors which together with the abelian group feature of the vector space makes a ring.

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The researcher studied the representation theory of an associative algebra arising from the quiver.

詳細

意味（1）

(algebra) A vector space over some field which also has an associative vector-valued multiplication operator between vectors which together with the abelian group feature of the vector space makes a ring.

意味（2）

(algebra) A module over a ring together with an associative bilinear module-element-valued operator between module elements which together with the abelian group feature of the module makes a ring.

associative algebras （ 複数形 ）