ID | 41399 |
フルテキストURL | |
著者 |
Yang, Xiaoyan
Department of Mathematics Northwest Normal University
Liu, Zhongkui
Department of Mathematics Northwest Normal University
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抄録 | In this paper, we give some characterizations of FP-grinjective R-modules and graded right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective envelopes and FP-gr-injective covers. We also prove that (1) (⊥gr-FI, gr-FI) is a hereditary cotorsion theory if and only if R is a left gr-coherent ring, (2) If R is right gr-coherent with FP-gr-id(RR) ≤ n, then (gr-FIn, gr-F n⊥) is a perfect cotorsion theory, (3) (⊥gr-FIn, gr-FIn) is a cotorsion theory, where gr-FI denotes the class of all FP-gr-injective left R-modules, gr-FIn is the class of all graded right R-modules of FP-gr-injective dimension at most n. Some applications are given.
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キーワード | FP-gr-injective module
graded flat module
envelope and cover
cotorsion theory
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発行日 | 2011-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 53巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 83
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終了ページ | 100
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ISSN | 0030-1566
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NCID | AA00723502
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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 | 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/vol53/iss1/5
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JaLCDOI |