L-両立的強正則半群

In the previous papers [6] and [7], the structure of L-compatible orthodox semigroups has been studied. In particular, it has been shown that an orthodox semigroup S is L-compatible if and only if S is an orthodox right regular band of left groups. In this paper, a construction theorem for L-compatible orthodox semigroups is established. Further, the construction of L- and H-compatible orthodox semigroups is also discussed.