• γ NEAR-RINGS

G. Sugantha*, R. Balakrishnan, India.

Abstract


In this paper we introduce the concept of near-rings. In [8], S. Suryanarayanan and R. Balakrishnan investigated a near-ring N in which every N-subgroup is invariant. Motivated by this concept, we probe into the properties of a near-ring N where every N-subgroup is an ideal. We discuss the properties of this newly introduced structure, obtain a complete characterization and a structure theorem for such near-rings.


Keywords


γ near-ring, simple near-ring.

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