Ordered left PP monoids

Xiaoping Shi
2014 Mathematica Slovaca  
AbstractAn ordered monoid S in which every principal left ideal, regarded as an S-poset, is projective is called an ordered left PP monoid, for short, an ordered lpp monoid. In this paper, we introduce a new kind of ordered relations instead of Green relations adopted by J. B. Fountain, ordered lpp monoids are described by these ordered relations. Some similar results of c-rpp semigroups are duduced and proved, in particular, Fountain's results about C-lpp monoids are generalized to ordered monoids.
more » ... ized to ordered monoids.
doi:10.2478/s12175-014-0279-6 fatcat:vjpgaimwsncmvoogwcgnr5pg6q