Maryam Robat Sarpoushi
Faculty of Mathematics and Computer Sciences,Hakim Sabzevari University, Sabzevar, Iran.
[ 1 ] - Pointfree topology version of image of real-valued continuous functions
Let $ { mathcal{R}} L$ be the ring of real-valued continuous functions on a frame $L$ as the pointfree version of $C(X)$, the ring of all real-valued continuous functions on a topological space $X$. Since $C_c(X)$ is the largest subring of $C(X)$ whose elements have countable image, this motivates us to present the pointfree version of $C_c(X).$The main aim of this paper is to present t...
[ 2 ] - Sums of Strongly z-Ideals and Prime Ideals in ${mathcal{R}} L$
It is well-known that the sum of two $z$-ideals in $C(X)$ is either $C(X)$ or a $z$-ideal. The main aim of this paper is to study the sum of strongly $z$-ideals in ${mathcal{R}} L$, the ring of real-valued continuous functions on a frame $L$. For every ideal $I$ in ${mathcal{R}} L$, we introduce the biggest strongly $z$-ideal included in $I$ and the smallest strongly $z$-ideal containing ...
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