• A NOTE ON STRUCTURE OF PERIODIC NEAR-FIELDS AND NEAR-FIELD SPACES (ANS - PNF - NFS)

Dr. N. V. NAGENDRAM*

Abstract


The aim of this work is to study a decomposition theorem for near-field spaces satisfying either of the properties        xy = xp f(xyx)xq or xy = xpf(yxy)xq,  where p = p(x, y), q = q(x, y) are non-negative integers and f(t) Î tZ(t) vary with the pair of elements x, y and further investigate the commutativity of such near-fields. Other related results are obtained for near-fields spaces.


Keywords


Near-ring, Near-field, periodic Near-field, sub Near-field, sub Near-field space, ideal, distributively generated near-field space, f-near-field space, nil near-field space, zero commutativity.

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