多元環 | Shirabe

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1)

単純多元環

Meaning

1. EN In mathematics, specifically in ring theory, an algebra is simple if it contains no non-trivial two-sided ideals and the multiplication operation is not zero...
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Kanji

多タ many, frequent, much 元ゲン beginning, former time, origin 環カン ring, circle, loop

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2)

分配多元環

Meaning

1. EN A non-associative algebra (or distributive algebra) is an algebra over a field where the binary multiplication operation is not assumed to be associative.
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Kanji

分ブン part, minute of time, segment 配ハイ distribute, spouse, exile 多タ many, frequent, much 元ゲン beginning, former time, origin 環カン ring, circle, loop

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3)

結合多元環

Meaning

1. EN In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a sc...
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Kanji

結ケツ tie, bind, contract 合ゴウ fit, suit, join 多タ many, frequent, much 元ゲン beginning, former time, origin 環カン ring, circle, loop

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4)

体上の多元環

Meaning

1. EN In mathematics, an algebra over a field (often simply called algebra), is a vector space equipped with a bilinear product.
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Kanji

体タイ body, substance, object 上ジョウ above, up 多タ many, frequent, much 元ゲン beginning, former time, origin 環カン ring, circle, loop

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5)

フロベニウス多元環

Meaning

1. EN In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite-dimensional unital associative algebra w...
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Kanji

多タ many, frequent, much 元ゲン beginning, former time, origin 環カン ring, circle, loop

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