The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals

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.

Authors:

• Rattiya Boonruang
• Aiyared Iampan

Keywords:

• ring
• prime and semiprime (generalized) bi-ideal
• Baer radical.

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