Xiao Guang Yan, Xiao Sheng Zhu
Abstract
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Let R be a commutative ring and C a semidualizing R -module. We investigate the relations between C -flat modules and 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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Let R be a commutative ring and C a semidualizing R -module. We investigate the relations between C -flat modules and C -FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.
Key concepts: Mathematics, Injective module, Injective function, Projective module, Noetherian ring, Commutative ring, Pure mathematics, Semisimple module