In this paper, we study some of the properties of Pythagorean neutrosophic subring of a ring and prove some results on these.Using some basic definitions,we derive the some important theorems.Intersection is applied into the Pythagorean neutrosophic subring of a ring.

In this paper, we have define the pairwise Pythagorean Neutrosophic (for short, pairwise PN) bitopological spaces (with dependent neutrosophic components between T and F). We also study the Pairwise PN strongly irresolvable spaces .The conditions under which pairwise PN strongly irresolvable spaces become pairwise PN first category spaces and pairwise PN Baire spaces are also investigated.