The Journal of the Indian Mathematical Society

Shiju George ¹, S. P. Bhatta ²

Affiliations
1 Department of Mathematics, Government College, Kasaragod 671 123, IN
2 Department of Mathematics, University of Mangalore, Mangalore, 574 199, IN

Abstract

In this paper different characterizations of chain-complete posets are given in terms of the fixed points of certain class of functions. Further, an error in the proof of a result of Taskovic is pointed out and a correct proof of the same is given.

Keywords

Poset, Chain-Completeness, Fixed Point Property.

Full Text

     

S. P. Bhatta ¹, H. S. Ramananda ¹

Affiliations
1 Department of Mathematics, Mangalore University Mangalagangothri 574 199, Karnataka State, IN

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.

Full Text