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math.GN2018
Recent progress in Rings and Subrings of Real Valued Measurable Functions
Soumyadip Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1
Two separated realcompact measurable spaces and are shown to be isomorphic if and only if the rings and $\mathcal{M…
math.FA2018
Ideals in Rings and Intermediate Rings of Measurable Functions
Sudip Kumar Acharyya, Sagarmoy Bag, Joshua Sack
The set of all maximal ideals of the ring of real valued measurable functions on a measurable space equipped with the hull-kernel top…
math.GN2018
Abundance of Isomorphic and non isomorphic intermediate rings
Bedanta Bose, Sudip Kumar Acharyya
It is well known that for a non pseudocompact space X, the family (X) of all intermediate subrings of C(X) which contain bounded real valued continuous functions contains at least…