University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 5 1 2016 06 01 Some results on PIT and GPIT theorems 17 25 2650 10.22098/jhs.2016.2650 EN M. Ebrahimpour Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 518, Rafsanjan, Iran Journal Article 2016 02 24 In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.  PIT GPIT Noetherian rings Local rings Finitely generated module https://jhs.uma.ac.ir/article_2650_fde4ff909cebfab9417b0668a93d0b4b.pdf