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タイトルComplete reducibility in some algebraic systems
作成者Kashiwagi, Yoshimi
Kikumasa, Isao
作成者ヨミカシワギ, ヨシミ
キクマサ, イサオ
作成者別表記柏木, 芳美
菊政, 勲
作成者所属山口大学教養部
内容記述(抄録等)In some algebraic systems we find algebraic objects which are direct sums of indecomposable or simple or irreducible sub-objects. Conditions for such complete reducibility are different, but results are quite similar. Examples are the Krull-Remak-Schmidt's Theorem about the decomposition of groups with chain conditions into indecomposable subgroups and the decomposition of semi-simple Lie algebras over a field of characteristic 0 into simple ideals. We will see this phenomenon in error-correcting codes, non-associative algebras (especially Lie algebras), and modules over a commutative ring, which are completely different algebraic systems. Proofs except for error-correcting codes are traditional in this paper, but the viewpoint seems to be now.
本文言語eng
資料タイプtext
出版者山口大学教養部
出版者ヨミヤマグチ ダイガク キョウヨウブ
NII資料タイプ紀要論文
ISSN0387-4087
NCIDAN00244148
学内刊行物(紀要等)山口大学教養部紀要. 自然科学篇
掲載誌名山口大学教養部紀要. 自然科学篇
掲載誌名別表記Journal of the Faculty of Liberal Arts, Yamaguchi University. Natural science
29
開始ページ5
終了ページ12
発行日1995
著者版/出版社版その他
リポジトリIDD060029000002
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/D060029000002