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RESIDUAL OF IDEALS OF AN L-RING

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The concept of right (left) quotient (or residual) of an ideal rj by a a ideal v of an L-subnng fj of a ring R is introduced. The right (left) quotients are shown to be ideals of n . It is proved that the right quotient [n :r v] of an ideal 77 by an ideal v of an I subring ju is the largest ideal of u such that [n:r v]v

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