Explicit descriptions of trace rings of generic 2 by 2 matrices
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- Teranishi Yasuo
- Department of Mathematics, School of Science, Nagoya University
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説明
<jats:p>Let <jats:italic>K</jats:italic> be a field of characteristic zero and let</jats:p><jats:p><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0027763000003433_inline1" /></jats:p><jats:p>be <jats:italic>m</jats:italic> generic <jats:italic>n</jats:italic> by <jats:italic>n</jats:italic> matrices over <jats:italic>K</jats:italic>. That is, <jats:italic>x<jats:sub>ij</jats:sub></jats:italic>(<jats:italic>k</jats:italic>) are independent commuting indeterminates over <jats:italic>K</jats:italic>. The <jats:italic>K</jats:italic>-subalgebra generated by <jats:italic>X<jats:sub>1</jats:sub></jats:italic>…, <jats:italic>X<jats:sub>m</jats:sub></jats:italic> is called a ring of <jats:italic>n</jats:italic> by <jats:italic>n</jats:italic> generic matrices and is denoted by <jats:italic>R</jats:italic>(<jats:italic>n, m</jats:italic>).</jats:p>
収録刊行物
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- Nagoya mathematical journal
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Nagoya mathematical journal 121 149-159, 1991-03
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詳細情報 詳細情報について
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- CRID
- 1573950401540925568
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- NII論文ID
- 110000023298
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- NII書誌ID
- AA00750899
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- ISSN
- 00277630
- 21526842
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- 本文言語コード
- en
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- データソース種別
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