TL-subrings and TL-ideals, Part5: Prime TL-ideals and Semiprime TL-ideals
YU Yandong · Mohu xitong yu shuxue · 1999
W e introduce the concepts of prim e TL-ideals, com pletely prim e TL-ideals, and sem iprim e TL-ideals ofa ring and presentsom e basic properties ofthem ,w here T is an arbi- trary infinitely ∨-distributive t-norm on a given com plete Brouw erian lattice L. In addition, the notions of prim e TL-ideals of a com m utative ring w ith identity and prim e (com pletely prim e) L-ideals ofa ring are characterized.