巾等元全体が帯をなす整局所逆半群における射影系について

In the previous paper [4], the concept of a p-system in a regular semigroup has been introduced; and it has been shown that every *-operation in a regular semigroup S is determined by some p-system in S, and conversely in a regular semigroup S with *-operation the projections of S form a p-system in S. On the other hand, the structure of orthodox SLI (straight locally inverse)-semigroups has been clarified in [5]. In this short note, the p-systems in an orthodox SLI-semigroup will be studied.