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Sperner property and finite-dimensional Gorenstein algebras associated to matroids
http://hdl.handle.net/10091/00020639
f9391be2-87e5-4ce0-8045-3be0f61fec5f
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-06-13 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Sperner property and finite-dimensional Gorenstein algebras associated to matroids | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Sperner property | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Lefschetz property | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | matroid | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Gorenstein algebra | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Maeno, Toshiaki
× Maeno, Toshiaki× Numata, Yasuhide |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Numata, Yasuhide | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.OanmPhLa.html | |||||
出版者 | ||||||
出版者 | ROCKY MT MATH CONSORTIUM | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | JOURNAL OF COMMUTATIVE ALGEBRA. 8(4):549-570 (2016) | |||||
書誌情報 |
JOURNAL OF COMMUTATIVE ALGEBRA 巻 8, 号 4, p. 549-570, 発行日 2016 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We prove the Lefschetz property for a certain class of finite-dimensional Gorenstein algebras associated to matroids. Our result implies the Sperner property of the vector space lattice. More generally, it is shown that the modular geometric lattice has the Sperner property. We also discuss the Grobner fan of the de fining ideal of our Gorenstein algebra. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1939-0807 | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1216/JCA-2016-8-4-549 | |||||
関連名称 | ||||||
関連名称 | 10.1216/JCA-2016-8-4-549 | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
WoS | ||||||
表示名 | Web of Science | |||||
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