شماره ركورد كنفرانس :
3735
عنوان مقاله :
A short note on compact frames‎
پديدآورندگان :
Abedi Mostafa abedi@esfarayen.ac.ir Esfarayen University of Technology
تعداد صفحه :
4
كليدواژه :
Compact frame‎ , ‎strongly fixed ideal‎ , ‎zero sets in pointfree topology
سال انتشار :
1396
عنوان كنفرانس :
اولين كنفرانس منطقه اي علوم رياضي و كاربردها
زبان مدرك :
انگليسي
چكيده فارسي :
‎A frame $L$ is called weakly spatial if for every element $a$ in $L$ other than the top element there is a prime element $P$ in $L$ such that $a\leq p$‎. ‎For a weakly spatial frame $L$‎, ‎we observe that $L$ is a compact frame if and only if its spectrum $\Sigma L$ is a compact space‎. ‎Let $\mathcal RL$ be the ring of real-valued continuous‎ ‎functions on a frame $L$‎. ‎Whenever $L$ is a weakly spatial frame‎, ‎we show that $L$ is a compact frame if and only if every maximal ideal in $\mathcal RL$ is strongly fixed‎.
كشور :
ايران
لينک به اين مدرک :
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