Cartan-Eilenberg projective, injective and flat complexes

Title:

Cartan-Eilenberg projective, injective and flat complexes

Creator:

Zhai, Xiaorui and Zhang, Chunxia

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:378b54da-326a-4bf8-9810-2f1ef797a374
uuid:378b54da-326a-4bf8-9810-2f1ef797a374
issn:0011-4642

Subject:

matematika, komplexy (matematika), mathematics, complexes, Cartan-Eilenberg projective complex, Cartan-Eilenberg injective complex, Cartan-Eilenberg flat complex, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let R be an associative ring with identity and F a class of R-modules. In this article: we first give a detailed treatment of Cartan-Eilenberg F complexes and extend the basic properties of the class F to the class CE(F). Secondly, we study and give some equivalent characterizations of Cartan-Eilenberg projective, injective and flat complexes which are similar to projective, injective and flat modules, respectively. As applications, we characterize some classical rings in terms of these complexes, including coherent, Noetherian, von Neumann regular rings, QF rings, semisimple rings, hereditary rings and perfect rings., Xiaorui Zhai, Chunxia Zhang., and Obsahuje seznam literatury

Language:

English

Rights:

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

Coverage:

151-167

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false