• SOME OTHER COMMUTATIVE - TRANSITIVE FINITE RINGS
Abstract
The ring R is said to be commutative- transitive if for each , and imply . In this paper, we present other examples of commutative- transitive rings.
We show that a ring R is commutative- transitive iff commutative graph R is a union of complete graphs. So we show non-commutative rings of order p4 are commutative- transitive.
We show that a ring R is commutative- transitive iff commutative graph R is a union of complete graphs. So we show non-commutative rings of order p4 are commutative- transitive.
Keywords
transitive rings, commutative- transitive, centralizer,
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