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Characterizations of Standard Elements in Posets |
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| Authors: | B. N. Waphare Vinayak Joshi |
| Affiliation: | (1) Department of Mathematics, University of Pune, Pune 411 007, India;(2) Department of Mathematics, Government College of Engineering, Pune 411 005, India |
| Abstract: | The fundamental characterization theorem of standard elements in lattices is extended to posets. Several other characterizations of standard elements are obtained in a sectionally semi-complemented poset and also in an atomistic, dually sectionally semi-complemented poset. |
| Keywords: | distributive pair semi-distributive pair modular pair standard element distributive element ∇ -standard element and p-element |
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