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Article

Yan, Xiao Guang ; Zhu, Xiao Sheng
Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}$-(FP)-injective and $\mathcal {C}$-flat modules. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 3, pp. 641-652
MSC: 13C11, 13D02, 13D05, 13E05, 18G25 | MR 2853080 | Zbl 1249.13004 | DOI: 10.1007/s10587-011-0036-8
Keywords:
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.
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