Abstract
In 1979, I. Rival and R. Wille characterized which orders freely generate a lattice that contains F(3), the free lattice on three generators. Their characterization is that the order contains 1+1+1, 2+3, or 1+5 (where n is the n-element chain). We give a new proof of their result. In fact, we generalize their result to m-lattices (where joins and meets of nonempty sets of cardinality less than m are allowed). In our proof, we apply a new result; namely, that our lattice-attachment construction preserves breadth when the skeleton is a chain.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
