Forcing linearity numbers for coatomic modules

Year 2018, Volume: 1 Issue: 1, 1 - 4, 30.09.2018

Peter R. Fuchs

https://doi.org/10.33434/cams.446020

Abstract

We show that an integer $ n\in \mathbb{N}\cup \lbrace 0 \rbrace $ is the forcing linearity number of a coatomic module over an arbitrary commutative ring with identity if and only if $n\in \left\{ 0,1,2,\infty \right\} \cup \left\{ q+2\left\vert q\text{ is a prime power}\right. \right\} .$

Keywords

Homogeneous functions, Forcing linearity numbers, Coatomic modules

References

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