concerning the frame of minimal prime ideals of pointfree function rings
نویسندگان
چکیده
let $l$ be a completely regular frame and $mathcal{r}l$ be the ringof continuous real-valued functions on $l$. we study the frame$mathfrak{o}(min(mathcal{r}l))$ of minimal prime ideals of$mathcal{r}l$ in relation to $beta l$. for $iinbeta l$, denoteby $textit{textbf{o}}^i$ the ideal${alphainmathcal{r}lmidcozalphain i}$ of $mathcal{r}l$. weshow that sending $i$ to the set of minimal prime ideals notcontaining $textit{textbf{o}}^i$ produces a $*$-dense one-oneframe homomorphism $beta ltomathfrak{o}(min(mathcal{r}l))$which is an isomorphism if and only if $l$ is basicallydisconnected.
منابع مشابه
Concerning the frame of minimal prime ideals of pointfree function rings
Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of continuous real-valued functions on $L$. We study the frame $mathfrak{O}(Min(mathcal{R}L))$ of minimal prime ideals of $mathcal{R}L$ in relation to $beta L$. For $Iinbeta L$, denote by $textit{textbf{O}}^I$ the ideal ${alphainmathcal{R}Lmidcozalphain I}$ of $mathcal{R}L$. We show that sending $I$ to the set of minimal prime ...
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عنوان ژورنال:
categories and general algebraic structures with applicationsناشر: shahid beheshti university
ISSN 2345-5853
دوره 1
شماره 1 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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