AU - Rezaei Aliabad, A. AU - parsinia, M. TI - z_R-Ideals and z^0_R-Ideals in Subrings of R^X PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 14 VI - 1 IP - 1 4099 - http://ijmsi.ir/article-1-896-en.html 4100 - http://ijmsi.ir/article-1-896-en.pdf SO - IJMSI 1 ABĀ  - 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 CP - IRAN IN - Ahvaz. Iran LG - eng PB - IJMSI PG - 55 PT - Research paper YR - 2019