Let S be the set of all points (x,y) in the plane with y 0. Define
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Let S be the set of all points (x,y) in the plane with y ≤ 0. Define an ordering by (x1,Y1) ≤ (x2,Y2) = x1 = x2 and Y1 < Y2, Show that this is a partial ordering of S, and that S has infinitely many maximal elements.
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To show that the given ordering is a partial ordering of S we need to verify the following propertie...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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