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A note on the rings of functions which are discontinuous on some finite sets

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 نشر من قبل Sagarmoy Bag
 تاريخ النشر 2021
  مجال البحث
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In this paper, we study some properties of the ring $C(X)_F$ of all real valued functions which are continuous except on some finite subsets of $X$. We show that $C(X)_F$ is closed under uniform limit if and only if the set of all non-isolated points of $X$ is finite. We also initiate and investigate the zero divisor graph of the ring $C(X)_F$.



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