Forcing linearity numbers for coatomic modules
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 $n\in \left\{ 0,1,2,\infty \right\} \cup \left\{ q+2\left\vert q\text{ is a prime power}\right. \right\} .$
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Format: | Article |
Language: | English |
Published: |
Emrah Evren KARA
2018-09-01
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Series: | Communications in Advanced Mathematical Sciences |
Subjects: | |
Online Access: | https://dergipark.org.tr/tr/download/article-file/542780 |
Summary: | 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 $n\in \left\{ 0,1,2,\infty \right\} \cup \left\{ q+2\left\vert q\text{ is a prime power}\right. \right\} .$ |
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ISSN: | 2651-4001 |