%0 Journal Article %A Rattiya Boonruang and Aiyared Iampan %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 60, 2011 %T The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals %U https://publications.waset.org/pdf/15439 %V 60 %X Using the idea of prime and semiprime bi-ideals of rings, the concept of prime and semiprime generalized bi-ideals of rings is introduced, which is an extension of the concept of prime and semiprime bi-ideals of rings and some interesting characterizations of prime and semiprime generalized bi-ideals are obtained. Also, we give the relationship between the Baer radical and prime and semiprime generalized bi-ideals of rings in the same way as of biideals of rings which was studied by Roux. %P 2077 - 2079