In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Keha...In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Kehayopulu in [1].展开更多
A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semi...A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semigroup is obtained. Munn(1966) gave a fundamental inverse semigroup. Following Munn's idea, we give a fundamental normal orthodox semigroup with an inverse transversal.展开更多
文摘In this paper, the concept of uniform π _semiprime family in po_semigroups and semigroups is introduced. We give characterizations of left π _regular po_semigroups which generalize the results given by N. Kehayopulu in [1].
文摘A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band. We deal with congruences on a normal orthodox semigroup with an inverse transversal. A structure theorem for such semigroup is obtained. Munn(1966) gave a fundamental inverse semigroup. Following Munn's idea, we give a fundamental normal orthodox semigroup with an inverse transversal.