As usual, the ring of continuous real-valued functions on a frame $L$ is denoted by $\mathcal{R}L$. We determine the relation among strongly $z$-ideals, strongly divisible ideals and uniformly closed ideals in the ring $\mathcal{R}L$. We characterize Lindel\"of frames based on strongly fixed ideals in $\mathcal{R}L$. We observe that a weakly spatial frame $L$ is Lindel\"of if and if every strongly divisible ideal in $\mathcal{R}L$ is strongly fixed; if and only if every closed ideal in $\mathcal{R}L$ is strongly fixed.
Abedi, M. (2022). Concerning strongly divisible, strongly fixed, and strongly $z$-ideals in $\mathcal{R}L$. Caspian Journal of Mathematical Sciences (CJMS), 11(1), 313-323. doi: 10.22080/cjms.2020.18807.1495
MLA
Mostafa Abedi. "Concerning strongly divisible, strongly fixed, and strongly $z$-ideals in $\mathcal{R}L$". Caspian Journal of Mathematical Sciences (CJMS), 11, 1, 2022, 313-323. doi: 10.22080/cjms.2020.18807.1495
HARVARD
Abedi, M. (2022). 'Concerning strongly divisible, strongly fixed, and strongly $z$-ideals in $\mathcal{R}L$', Caspian Journal of Mathematical Sciences (CJMS), 11(1), pp. 313-323. doi: 10.22080/cjms.2020.18807.1495
VANCOUVER
Abedi, M. Concerning strongly divisible, strongly fixed, and strongly $z$-ideals in $\mathcal{R}L$. Caspian Journal of Mathematical Sciences (CJMS), 2022; 11(1): 313-323. doi: 10.22080/cjms.2020.18807.1495
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