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中嶋 祐介 所属 京都産業大学 理学部 数理科学科 職種 助教 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2015/12 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Generalized F-signature of invariant subrings |
| 執筆形態 | 共著 |
| 掲載誌名 | JOURNAL OF ALGEBRA |
| 掲載区分 | 国外 |
| 出版社・発行元 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 巻・号・頁 | 443,pp.142-152 |
| 著者・共著者 | Mitsuyasu Hashimoto, Yusuke Nakajima |
| 概要 | It is known that a certain invariant subring R has finite F-representation type. Thus, we can write the R-module R-e as a finite direct sum of finitely many R-modules. In such a decomposition of eR, we pay attention to the multiplicity of each direct summand. For the multiplicity of free direct summand, there is the notion of F-signature defined by C. Huneke and G. Leuschke and it characterizes some singularities. In this paper, we extend this notion to non-free direct summands and determine their explicit values. (C) 2015 Elsevier Inc. All rights reserved. |
| NAID | 0021-8693 |