Geodesic
Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}$-(FP)-injective and $\mathcal {C}$-flat modules
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 641-652
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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.
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.
DOI : 10.1007/s10587-011-0036-8
Classification : 13C11, 13D02, 13D05, 13E05, 18G25
Keywords: semidualizing module; $\mathcal {C}$-projective module; $\mathcal {C}$-(FP)-injective module; $\mathcal {C}$-flat module; noetherian ring; coherent ring 
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     title = {Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}${-(FP)-injective} and $\mathcal {C}$-flat modules},
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Yan, Xiao Guang; Zhu, Xiao Sheng. Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}$-(FP)-injective and $\mathcal {C}$-flat modules. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 641-652. doi: 10.1007/s10587-011-0036-8

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