A Characterization and the Intersection of the Maximal Compatible Extensions of a Partial Order |
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Authors: | Szilvia Szilágyi |
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Institution: | (1) Institute of Mathematics, University of Miskolc, Miskolc, 3515, Hungary |
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Abstract: | We present a characterization of the maximal compatible extensions of a given compatible partial order ≤
r
on a unary algebra (A,f ). These extensions can be constructed by using the compatible linear extensions of ≤
r*, where (A*,f*) is the so called contracted quotient algebra of (A,f) and the compatible partial order ≤
r* on (A*,f*) is naturally induced by ≤
r
. Using this characterization, we determine the intersection of the maximal compatible extensions of ≤
r
.
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Keywords: | Compatible partial order Prohibited pair Quasilinear partial order |
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