| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646778 | Discrete Mathematics | 2016 | 12 Pages |
Abstract
In this paper, we give characterizations for distributive, modular, semidistributive, semimodular, 00-distributive and 00-modular lattices using incomparability relations. We generalize these concepts to posets and call them ∥∥-distributive, ∥∥-modular, ∥∥-semidistributive, LULU-semimodular, 00-∥∥-distributive and 00-∥∥-modular posets and obtain forbidden configurations for these classes with finite length by means of LULU-subposets.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
R.S. Shewale, Vilas Kharat,