Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}$-(FP)-injective and $\mathcal {C}$-flat modules

Title:

Characterizations of some rings with $\mathcal {C}$-projective, $\mathcal {C}$-(FP)-injective and $\mathcal {C}$-flat modules

Creator:

Yan, Xiao Guang and Zhu, Xiao Sheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:badbe0d3-fdd9-430a-be1a-432c0ccddab3
uuid:badbe0d3-fdd9-430a-be1a-432c0ccddab3

Subject:

semidualizing module, $\mathcal {C}$-projective module, $\mathcal {C}$-(FP)-injective module, $\mathcal {C}$-flat module, noetherian ring, and coherent ring

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

641-652

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:3

Harvested from:

CDK

Metadata only:

false