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Title

(AMPLY) RAD-SUPPLEMENTED LATTICES

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Abstract

 IN THIS PAPER, WE INTRODUCE AND INVESTIGATE (AMPLY)RAD-SUPPLEMENTED LATTICES. IF L IS A RAD-SUPPLEMENTED LATTICE AND A 2 L, THEN 1/A IS RAD-SUPPLEMENTED. IT IS SHOWN THAT AN ALGEBRAIC LATTICEL IS AMPLY RAD-SUPPLEMENTED IFF L IS A RAD-SUPPLEMENTED.IF A/0 AND 1/A ARE RAD-SUPPLEMENTED AND A HAS A RAD-SUPPLEMENT B IN D/0 FOR EVERY SUB LATTICED /0 WITH A£ D, THEN L IS RAD-SUPPLEMENTED.

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