• IDEALS IN PRIMITIVE WEAKLY STANDARD RINGS

C. Jaya Subba Reddy*, K. Chennakesavulu

Abstract


In this paper we prove that if R has a maximal right ideal A ¹ 0 which contains no two-sided ideal of other than (0), then R is associative. It is used to show that a left primitive weakly standard ring is either associative or simple with right identity element. Also we prove that the radical of A is contained in any primitive ideal P of R.


Keywords


Commutator, associator, Nucleus, Primitive ring, Simple ring, weakly standard ring, Prime radical.

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