Partial Orders on Right Inverse Semigroups

那在那里存在，是众所周知的正统 semigroup 上的最小的反的 semigroup 一致。我们在正统 semigroup 上由 Y 表示最小的反的 semigroup 一致。让 S 是战斗逆 semigroup。我们在 S 上构造部分订单由某种它的 subsemigroups 并且揭开 S 上的部分订单在 S/Y 上与部分订单有靠近的接触。

It is well known that there exists the smallest inverse semigroup congruence on an orthodox semigroup. We denote by Y the smallest inverse semigroup congruence on an orthodox semigroup. Let S be a right inverse semigroup. We construct partial orders on S by some kind of its subsemigroups and uncover that partial orders on S have close contact with partial orders on S/Y.