<図書>
Gröbner bases in commutative algebra
責任表示 | Viviana Ene, Jürgen Herzog |
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シリーズ | Graduate studies in mathematics ; v. 130 |
データ種別 | 図書 |
出版情報 | Providence : American Mathematical Society , c2012 |
本文言語 | 英語 |
大きさ | xi, 164 p. cm |
概要 | Ene (Ovidius U., Romania) and Herzog (U. of Essen) introduce the Grobner basis of an ideal I in a polynomial ring over the field K, discuss applications based on the elimination theorem, and extend th... theory of Grobner bases to submodules of a finitely generated free module over a polynomial ring. Intended for graduate students, the last chapter of the monograph touches on Koszul algebras, sortable sets of monomials, the Rees ring of generalized Hibi ideals, determinental ideals, and binomial edge ideals. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6826773 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | ENE,/10/1 | 2012 |
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033212011006832 |
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書誌詳細
一般注記 | Includes bibliographical references (p. 157-159) and index |
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著者標目 | *Ene, Viviana, 1960- Herzog, Jürgen, 1947- |
件 名 | LCSH:Gröbner bases LCSH:Commutative algebra FREE:Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.). msc 全ての件名で検索 FREE:Commutative algebra -- General commutative ring theory -- Ideals; multiplicative ideal theory. msc 全ての件名で検索 FREE:Commutative algebra -- Homological methods -- Syzygies, resolutions, complexes. msc 全ての件名で検索 FREE:Commutative algebra -- Local rings and semilocal rings -- Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.). msc 全ての件名で検索 FREE:Commutative algebra -- Computational aspects and applications -- Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases). msc 全ての件名で検索 |
分 類 | LCC:QA251.3 DC23:512/.44 |
書誌ID | 1001465815 |
ISBN | 9780821872871 |
NCID | BB07941904 |
巻冊次 | ISBN:9780821872871 |
登録日 | 2012.01.26 |
更新日 | 2017.02.18 |