Abstract
As generalizations of Ehresmann semigroups, P-Ehresmann semigroups were firstly introduced and investigated by Jones [12]. From a varietal perspective, P-Ehresmann semigroups are derived from reducts of regular ◦-semigroups. In this paper, inspired by the approach of Jones, P-Ehresmann semigroups are further extended to weakly P-Ehresmann semigroups derived instead from reducts of regular semigroups with a quasi-ideal regular ◦-transversal. After studying the basic properties of weakly P-Ehresmann semigroups, we obtain a construction theorem for these semigroups by using P-Ehresmann semigroups, left normal partial bands and right normal partial bands satisfying natural compatibility conditions. Special cases are also considered, and examples are provided to illustrate the relationships among these special cases.
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.
