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Frobenius Extensions and Tilting Complexes
http://hdl.handle.net/2241/103891
http://hdl.handle.net/2241/103891cc0ff5ca-5f45-4c00-b9e6-b9c30936ff71
名前 / ファイル | ライセンス | アクション |
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ART_11-3.pdf (252.3 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2009-11-04 | |||||
タイトル | ||||||
タイトル | Frobenius Extensions and Tilting Complexes | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Abe, Hiroki
× Abe, Hiroki× Hoshino, Mitsuo |
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著者別名 |
星野, 光男
× 星野, 光男 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let n ≥ 1 be an integer and π a permutation of I = {1, ⋯ ,n}. For any ring R, we provide a systematic construction of rings A which contain R as a subring and enjoy the following properties: (a) 1 = ∑ i ∈ I e i with the e i orthogonal idempotents; (b) e i x = xe i for all i ∈ I and x ∈ R; (c) e i A e j ≠ 0 for all i, j ∈ I; (d) e i A A ≇ e j A A unless i = j; (e) every e i Ae i is a local ring whenever R is; (f) e i A A ≅ Hom R (Ae π(i),R R ) and A Ae π(i) ≅ A Hom R (e i A, R R) for all i ∈ I; and (g) there exists a ring automorphism η ∈ Aut(A) such that η(e i ) = e π(i) for all i ∈ I. Furthermore, for any nonempty π-stable subset J of I, the mapping cone of the multiplication map $\bigoplus_{i \in J} Ae_{i} \otimes_{R} e_{i}A_{A} \to A_{A}$ is a tilting complex. | |||||
書誌情報 |
Algebras and representation theory 巻 11, 号 3, p. 215-232, 発行日 2008-06 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1386-923X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11256919 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1007/s10468-007-9065-2 | |||||
権利 | ||||||
権利情報 | © Springer Science + Business Media B.V. 2007 | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Springer Netherlands | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/103891 | |||||
識別子タイプ | HDL | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |