- Communications in Advanced Mathematical Sciences
- Vol: 1 Issue: 1
- Forcing linearity numbers for coatomic modules
Forcing linearity numbers for coatomic modules
Authors : Peter R. Fuchs
Pages : 1-4
Doi:10.33434/cams.446020
View : 8 | Download : 5
Publication Date : 2018-09-30
Article Type : Research
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