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AAA61: 61st Workshop on General Algebra + 16th Conference of Young Algebraists
February 2-4, 2001
TU Darmstadt
Darmstadt, Germany

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A triplet construction for modular posets
by
Radomir Halaš
Dept. of Algebra and Geometry, Palacký University Olomouc, Czech Republic
Coauthors: Ivan Chajda

It was proved by K.B. Lee that every pseudocomplemented distributive lattice is uniquely up to isomorphism determined by the so called characterizing triplet. This result was generalized for modular pseudocomplemented lattices by T. Katrinák and P. Mederly. We proceeded to generalize this for modular pseudocomplemented posets. Our goal is to show that the characterizing triplet is much more attribute of the property "to be pseudocomplemented" than the property ``to be a lattice''.

Date received: December 18, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafo-27.