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