Article
MSC:
13C11,
13D02,
13D05,
13E05,
18G25 | MR 2853080 | Zbl 1249.13004 | DOI: 10.1007/s10587-011-0036-8
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Keywords:
semidualizing module; $\mathcal {C}$-projective module; $\mathcal {C}$-(FP)-injective module; $\mathcal {C}$-flat module; noetherian ring; coherent ring
semidualizing module; $\mathcal {C}$-projective module; $\mathcal {C}$-(FP)-injective module; $\mathcal {C}$-flat module; noetherian ring; coherent ring
Summary:
Let $R$ be a commutative ring and $\mathcal {C}$ a semidualizing $R$-module. We investigate the relations between $\mathcal {C}$-flat modules and $\mathcal {C}$-FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.
References:
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