Open AccessClosure formula for ideals in intermediate rings
Author(s) -
John Paul Jala Kharbhih,
Sanghita Dutta
Publication year - 2020
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2020.11903
Subject(s) - mathematics , closure (psychology) , ideal (ethics) , intersection (aeronautics) , ring (chemistry) , maximal ideal , topology (electrical circuits) , pure mathematics , combinatorics , discrete mathematics , law , chemistry , organic chemistry , aerospace engineering , political science , engineering
In this paper, we prove that the closure formula for ideals in C(X) under m topology holds in intermediate ring also, i.e. for any ideal I in an intermediate ring with m topology, its closure is the intersection of all the maximal ideals containing I.