Czechoslovak Mathematical Journal, Vol. 74, No. 4, pp. 983-1005, 2024
Dual modules and reflexive modules with respect to a semidualizing module
Lixin Mao
Received June 15, 2023. Published online October 8, 2024.
Abstract: 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.
Affiliations: Lixin Mao, School of Mathematics and Physics, Nanjing Institute of Technology, No. 1 Hongjing Avenue, Jiangning District, Nanjing 211167, Jiangsu, P. R. China, e-mail: maolx2@hotmail.com