O-Semidistributive Inverse Semigroups  

作　　者：田振际 

机构地区：[1]School of Sciences, Lanzhou Univ. of Technology, Lanzhou, Gansu, 730050, P. R. China

出　　处：《数学进展》2004年第3期378-380,共3页Advances in Mathematics（China）

摘　　要：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 subsemigroup generated by inverse subsemigroups A, B of S. The set LF(S) of all full inverse subsemigroups of S forms a complete sublattice of L(S), with Es as zero element (Es is the set of all idempotent of S)(see [3,5,6]). Note, that if S a group, then LF(S)=L(S), its lattice of all subgroups of S. If S = G0 is a group with adjoined zero, then clearly LF(S) ≌ L(G).

关 键 词：0-半分布 转置 半群 集合 子半群 子集 

分 类 号：O152.7[理学—数学]