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Authors
Affiliations
1 Department of Mathematics, Mangalore University Mangalagangothri 574 199, Karnataka State, IN
Source
The Journal of the Indian Mathematical Society, Vol 76, No 1-4 (2009), Pagination: 11-18
Abstract
A negative solution to an open problem posed on modular pairs in orthocomplemented posets is obtained by constructing a counterexample. Some relations between join-irreducible elements and modular pairs are discussed. It is also observed that orthomodular posets of finite length are strong and balanced.
Keywords
Upper(Lower)Cone, Modular Pairs, Orthomodular Posets, Strong Posets, Balanced Posets, Join-Irreducible Elements, Meet-Irreducible Elements.