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Dual modules and reflexive modules with respect to a semidualizing module
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 983-1005
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Let $C$ be a semidualizing module over a commutative ring. We first investigate the properties of $C$-dual, $C$-torsionless and $C$-reflexive modules. Then we characterize some rings such as coherent rings, $\Pi $-coherent rings and FP-injectivity of $C$ using $C$-dual, $C$-torsionless and $C$-reflexive properties of some special modules.
Let $C$ be a semidualizing module over a commutative ring. We first investigate the properties of $C$-dual, $C$-torsionless and $C$-reflexive modules. Then we characterize some rings such as coherent rings, $\Pi $-coherent rings and FP-injectivity of $C$ using $C$-dual, $C$-torsionless and $C$-reflexive properties of some special modules.
DOI : 10.21136/CMJ.2024.0280-23
Classification : 16D40, 16D50, 18G25
Keywords: semidualizing module; $C$-dual module; $C$-torsionless module; $C$-reflexive module 
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Mao, Lixin. Dual modules and reflexive modules with respect to a semidualizing module. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 983-1005. doi: 10.21136/CMJ.2024.0280-23

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