• THE MIDDLE NUCLEUS EQUALS THE CENTER IN PRIME JORDAN RINGS

M. MANJULA DEVI; K. SUVARNA*

• THE MIDDLE NUCLEUS EQUALS THE CENTER IN PRIME JORDAN RINGS

M. MANJULA DEVI, K. SUVARNA*

Abstract

In this paper we show that in a Jordan ring R, for fixed n in the middle nucleus N_m, the additive subgroup B generated by all elements of the form (n,R,R) is an ideal of R. Then it is proved that R is either associative or the middle nucleus equals the center.

Keywords

Nucleus, Center, Jordan ring, Divisible ring.

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