Vinayak V. Joshi, Department of Mathematics, Government College of Engineering, Pune 411 005, India, e-mail: firstname.lastname@example.org; B. N. Waphare, Department of Mathematics, University of Pune, Pune 411 007, India, e-mail: email@example.com
Abstract: The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.
Keywords: 0-distributive, pseudocomplement, sectionally semi-complemented poset, ideal lattice
Classification (MSC2000): 06A06, 06A11, 06C15, 06C20, 06D15
Full text of the article: