H. J. Le Roux
Abstract
The purpose of this note is to extend the results of prime and semiprime bi-ideals of associative rings with unity to associative rings without unity. Furthermore, we show that the radical class of Baer is the intersection of all the semiprime bi-ideals of a ring.
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The purpose of this note is to extend the results of prime and semiprime bi-ideals of associative rings with unity to associative rings without unity. Furthermore, we show that the radical class of Baer is the intersection of all the semiprime bi-ideals of a ring.
Key concepts: Semiprime ring, Semiprime, Mathematics, Associative property, Prime (order theory), Associated prime, Intersection (aeronautics), Pure mathematics