| ID | 66004 |
| フルテキストURL | |
| 著者 |
Puthenpurakal, Tony J.
Department of Mathematics, IIT Bombay
|
| 抄録 | Let (A,m) be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of A is known then by a result of Auslander and Reiten one can explicity compute G(A) the Grothendieck group of finitely generated A-modules. If the AR-quiver is not known then in this paper we give estimates of G(A)Q = G(A) ⊗Z Q when k = A/m is perfect. As an application we prove that if A is an excellent equi-characteristic Henselian Gornstein local ring of positive even dimension with char A/m ≠ 2, 3, 5 (and A/m perfect) then G(A)Q ≅ Q.
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| キーワード | Grothendieck group
finite representation type
AR sequence
|
| 備考 | Mathematics Subject Classification. Primary 13D15; Secondary 16G50, 16G60, 16G70
|
| 発行日 | 2024-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 66巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 103
|
| 終了ページ | 113
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol66/iss1/7
|
