Characterizing rings by their modules

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.

Dually steady rings

Robert El Bashir, Tomáš Kepka, Jan Žemlička (2011)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

$δ$ -small submodules and $δ$ -supplemented modules.

Wang, Yongduo (2007)

International Journal of Mathematics and Mathematical Sciences

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