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math.RA2016
A Dedekind Domain with Nontrivial Class Group
Vaibhav Pandey, Sagar Shrivastava, B. Sury
Analytic properties of function spaces over the real and the complex fields are different in some ways. This reflects in algebraic properties which are different at times and simil…
math.AC2016
Ring Of Real Analytic Functions on
Sagar Shrivastava, Vaibhav Pandey
We consider the ring of real analytic functions defined on , i.e. In this…
math.RA2016
On non-maximal prime ideals of
Vaibhav Pandey
We first show a counter intuitive result that in the ring of real valued continuous functions on non maximal prime ideals exist. This is a standard proof and a well known r…