On minimal ideals in the ring of real-valued continuous functions on a frame
نویسندگان
چکیده
منابع مشابه
INTERSECTION OF ESSENTIAL IDEALS IN THE RING OF REAL-VALUED CONTINUOUS FUNCTIONS ON A FRAME
A frame $L$ is called {it coz-dense} if $Sigma_{coz(alpha)}=emptyset$ implies $alpha=mathbf 0$. Let $mathcal RL$ be the ring of real-valued continuous functions on a coz-dense and completely regular frame $L$. We present a description of the socle of the ring $mathcal RL$ based on minimal ideals of $mathcal RL$ and zero sets in pointfree topology. We show that socle of $mathcal RL$ is an essent...
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ژورنال
عنوان ژورنال: Archivum Mathematicum
سال: 2018
ISSN: 0044-8753,1212-5059
DOI: 10.5817/am2018-1-1