Abstract
The notion of symmetric difference is defined for arbitrary posets having an antitone involution in such a way that for Boolean algebras one obtains the usual notion of symmetric difference. In the case of lattices a very natural description of symmetric differences follows. Sufficient conditions for the existence of such differences are provided. It turns out that for the existence of symmetric differences it is necessary for any two orthogonal elements to have a join. Changing the concept of symmetric difference it is also possible to define symmetric differences in directed posets with an antitone involution in a natural way such that two orthogonal elements need not have a join.
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.
