• Communications of the Korean Mathematical Society
• /
• v.12 no.3
• /
• pp.507-511
• /
• 1997

In this paper, we give the characterizations of right(left) semiregular $po$-semigroups using the notions of some type ideals.

• Communications of the Korean Mathematical Society
• /
• v.11 no.2
• /
• pp.315-321
• /
• 1996

Recently, N. Kehayopulu [4] introduced the concepts of weakly prime ideals of ordered semigroups. In this paper, we define the concepts of left(right) weakly prime and left(right) semiregular. Also we investigate the properties of them.

• Communications of the Korean Mathematical Society
• /
• v.26 no.3
• /
• pp.405-416
• /
• 2011

In this paper, we first introduce the concept of left strongly simple po-semigroups, then we discuss properties and characterizations nil-extensions of left strongly simple po-semigroups and semilattices of leftstrongly simple po-semigroups. Finally, we give some characterizations of the chain of left strongly simple po-semigroups.