• A NOTE ON QUOTIENT FULL COMMUTATIVE NEAR-FIELD SPACES OVER A NEAR-FIELD (QF-C-NFS-NF)

Dr THURUMELLA MADHAVI LATHA, Dr T V PRADEEP KUMAR, Dr N. V. NAGENDRAM*

Abstract


In this paper, We define a near-field space N to be an FL (full linear) near-field space if N is isomorphic to the full near-field space of linear transformations of a left sub near-field space over a division near-field space. N is QFL if its left maximal quotient near-field space is an FLnear-field space. In this paper we give necessary and sufficient conditions for a near-field space to be a QFL near-field space. We also generalize some results of Chase and Faith concerning sub-direct sum decompositions of near-field spaces whose left maximal quotient near-field space is the direct product of FL near-field spaces.


Keywords


near-field space, full linear near-field space, quotient near-field space, atomic.

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