On compact semi-groups
Kiyoshi Iséki · Proceedings of the Japan Academy Series A Mathematical Sciences · 1956
In this note, we shall extend a theorem of my paper [4], and apply the theorem to study the structure of compact semi-groups."A semi-group S of elements a, b, c... is called a homogroup if 1) S con, ains an idempoten, e, 2) for each a of S, there exist elements a', a" such ,hat a' e 3) for every a of S, ae--ca.The terminology "homogroup" has been used by G. Thierrin A. H. Clifford ana D