Note on idempotent semigroups, III
Naoki Kimura · Proceedings of the Japan Academy Series A Mathematical Sciences · 1958
Naoki Kimura 1), in which the author proved the structure theorems of some special idempotent semigroups.Terminologies in the previous papers (Kimura V2 and Miyuki Yamada and Kimura 3) will be used without defini- tions.2. An idempotent semigroup is called 1 ) right (left) semi-regular if axy--axyayxy (xya=-xyxaxya), ( 2 right (left) semi-normal if axy-axyay (xya-xaxya), ( 3 ) right (left) quasi-normal if axy--axay