White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

J- Simple restriction ω-semigroups

abdulkadir, dilshad (2014) J- Simple restriction ω-semigroups. MSc by research thesis, University of York.

Text (J-simple restriction ω-semigroups)
Available under License Creative Commons Attribution-Noncommercial-No Derivative Works 2.0 UK: England & Wales.

Download (343Kb) | Preview


In 1985 Asibong-Ibe [1] considered the �*-bisimple ample ω-semigroups and proved that they are isomorphic to certain generalised Bruck-Reilly extensions BR(M;θ) of a cancellative monoid M where θ is a morphism. In 1993 he also proved in [2] that a similar structure theorem holds for J-simple ample ω-semigroups. Recently this result has been generalised in [16] for ~-bisimple restriction ω-semigroups. Our objective is to study generalised Green's relations and restriction semigroups, together with their properties. Then we show that the analogue of a similar structure theorem for simple inverse ω-semigroups that was proved in [13] still holds if we replace simple inverse ω-semigroups by J-simple restriction ω-semigroups. The theory developed here closely parallels that in [13] and [2].

Item Type: Thesis (MSc by research)
Academic Units: The University of York > Mathematics (York)
Depositing User: mr dilshad abdulkadir
Date Deposited: 02 Dec 2014 12:49
Last Modified: 02 Dec 2014 12:49
URI: http://etheses.whiterose.ac.uk/id/eprint/7436

Actions (repository staff only: login required)