Modules with respect to cyclic purity

Authors

  • Lixin Mao

DOI:

https://doi.org/10.7146/math.scand.a-15166

Abstract

An exact sequence $0\rightarrow A\rightarrow B\rightarrow C\rightarrow 0$ of left $R$-modules is called cyclically pure if for every right ideal $I$ of $R$, the sequence $0\rightarrow (R/I)\otimes A \rightarrow (R/I)\otimes B \rightarrow (R/I)\otimes C \rightarrow 0$ is exact. In this paper, we study some special modules with respect to cyclic purity, such as $CP$-projective, $CP$-injective and $CP$-flat modules.

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Published

2011-06-01

How to Cite

Mao, L. (2011). Modules with respect to cyclic purity. MATHEMATICA SCANDINAVICA, 108(2), 177–197. https://doi.org/10.7146/math.scand.a-15166

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Section

Articles