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ON MAXIMAL IDEALS OF RL

A. A. Estaji; A. Mahmoudi Darghadam

Volume 6, Issue 1 , Summer and Autumn 2018, , Pages 43-57

Abstract
  Let $L$ be a completely regular frame and $\mathcal{R}L$ be the ring of real-valued continuous functions on $L$. We consider the set $$\mathcal{R}_{\infty}L = \{\varphi \in \mathcal{R} L : \uparrow \varphi( \dfrac{-1}{n}, \dfrac{1}{n}) \mbox{ is a compact frame for any $n \in \mathbb{N}$}\}.$$ Suppose ...  Read More