In this paper, we consider the pairs $(L,\mathrm{cl}_L)$, where $L$ is a locale and $\mathrm{cl}_L\colon L\rightarrow L$ is a closure function on $L$ and also describe connections between closure functions and interior functions in a locale $L$. Moreover, we introduce $c_L$-regular-open and $c_L$-regular-closed elements in a closure function and study their fundamental properties. We show that the set of all $c_L$-regular-open elements and $c_L$-regular-closed elements in locale $L$ are frames with binary relation $\leq_L$.
Haghdadi,T. (2024). $c_L$-regular-open and $c_L$-regular-closed elements by clouser function in pointfree topology. Journal of Frame and Matrix Theory, 1(2), 22-36. doi: 10.22034/jfmt.2024.455601.1010
MLA
Haghdadi,T. . "$c_L$-regular-open and $c_L$-regular-closed elements by clouser function in pointfree topology", Journal of Frame and Matrix Theory, 1, 2, 2024, 22-36. doi: 10.22034/jfmt.2024.455601.1010
HARVARD
Haghdadi T. (2024). '$c_L$-regular-open and $c_L$-regular-closed elements by clouser function in pointfree topology', Journal of Frame and Matrix Theory, 1(2), pp. 22-36. doi: 10.22034/jfmt.2024.455601.1010
CHICAGO
T. Haghdadi, "$c_L$-regular-open and $c_L$-regular-closed elements by clouser function in pointfree topology," Journal of Frame and Matrix Theory, 1 2 (2024): 22-36, doi: 10.22034/jfmt.2024.455601.1010
VANCOUVER
Haghdadi T. $c_L$-regular-open and $c_L$-regular-closed elements by clouser function in pointfree topology. JFMT, 2024; 1(2): 22-36. doi: 10.22034/jfmt.2024.455601.1010
