The clean elements of the ring $\mathcal R(L)$
| Autor: | Estaji, Ali Akbar |
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| Další autoři: | |
| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| Abstrakt: | Abstract: We characterize clean elements of $\mathcal R(L)$ and show that $\alpha\in\mathcal{R}(L)$ is clean if and only if there exists a clopen sublocale $U$ in $L$ such that $\frak{c}_L({\rm coz} (\alpha- 1)) \subseteq U \subseteq\frak{o}_L( {\rm coz} (\alpha))$. Also, we prove that $\mathcal R(L)$ is clean if and only if $\mathcal R(L)$ has a clean prime ideal. Then, according to the results about $\mathcal R(L),$ we immediately get results about $\mathcal C_c(L). |
| Databáze: | Katalog Knihovny AV ČR |
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