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説明
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.
収録刊行物
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- Mathematical Journal of Okayama University
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Mathematical Journal of Okayama University 53 (1), 83-100, 2011-01
Department of Mathematics, Faculty of Science, Okayama University
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詳細情報 詳細情報について
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- CRID
- 1390572174578335104
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- NII論文ID
- 120002693906
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- NII書誌ID
- AA00723502
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- ISSN
- 00301566
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
