%0 Journal Article
%A Rezaei Aliabad, A.
%A parsinia, M.
%T z_R-Ideals and z^0_R-Ideals in Subrings of R^X
%J Iranian Journal of Mathematical Sciences and Informatics
%V 14
%N 1
%U http://ijmsi.ir/article-1-896-en.html
%R
%D 2019
%K Z(R)-topology, Coz(R)-topology, Growing ideal, z_R- ideal, z^0_R-ideal, Invertible subring.,
%X Let X be a topological space and R be a subring of RX. By determining some special topologies on X associated with the subring R, characterizations of maximal fixxed and maximal growing ideals in R of the form Mx(R) are given. Moreover, the classes of zR-ideals and z0R-ideals are introduced in R which are topological generalizations of z-ideals and z0-ideals of C(X), respectively. Various characterizations of these ideals are established, also, coincidence of zR-ideals with z-ideals and zR-ideals with z-ideals in R are investigated. It turns out that some fundamental statements in the context of C(X) are extended to the subrings of RX
%> http://ijmsi.ir/article-1-896-en.pdf
%P 55-67
%& 55
%!
%9 Research paper
%L A-10-2011-1
%+ Shahid Chamran University of Ahvaz
%G eng
%@ 1735-4463
%[ 2019