Abstract

Let D n be the monoid of all order-decreasing full transformations on n = { 1 , … , n } . In this paper, we determine the maximal subsemigroups as well as the maximal idempotent generated subsemigroups of D n . Moreover, we characterize the abundance of the maximal (idempotent generated) subsemigroups of D n . We also characterize the abundance of the ideals of D n .

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 call

Disclaimer: 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.