右消去幺半群、左正则带和左正则型A幺半群

本文利用右消去幺半群,左正则带建立了真左正则型A幺半群．在证明了任一左正则型A幺半群均有P－覆盖后,给出P－覆盖的结构．     

π-逆子半群格是模格的π-逆半群

π－逆半群是广义正则半群，研究它的π－逆子半群格是非常自然的．本文首先讨论了一个π－逆半群的π逆子半群格的直积分解;然后通过引进πU－链的概念刻划了π－逆子半群格是模格的π－逆半群的性质及特征．     

π-inverse Semigroups Whose Lattice of π-inverse Subsemigroups is ∧- semidistributive

ＡｓｅｍｉｇｒｏｕｐＳｉｓｃａｌｅｄπ－ｒｅｇｕｌａｒｉｆｆｏｒｅｖｅｒｙｅｌｅｍｅｎｔａｏｆＳｔｈｅｒｅｅｘｉｓｔｓｍ∈Ｚ＋（ｔｈｅｓｅｔｏｆｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒｓ）ｓｕｃｈｔｈａｔａｍｉｓｒｅｇｕｌａｒ．Ｌｅｔｕｓｄｅｎｏｔｅｂｙｒ（ａ...     

0-Semidistributive Inverse Semigroups

For an inverse semigroup S,the set L(S)of all inverse subsemigroups(including the empty set)of S forms a lattice with respect to intersection denoted as usual by ∩ and union,where the union is the inverse subsemingroup generated by inverse subsemigroups A,B of S.The set     

O-Semidistributive Inverse Semigroups

For an inverse semigroup S, the set L(S) of all inverse subsemigroups (including the emptyset) of S forms a lattice with respect to intersection denoted as usual by ∩ and union, wherethe union is the inverse subsemigroup generated by inverse subsemigroups A, B of S. The setLF(S) of all full inverse subsemigroups of S forms a complete sublattice of L(S), with E_s as