%0 Journal Article
%T 集合Λ上的半格Γ确定的二元关系半群PΓ(Λ×Λ)的不可分解元<br>Non-solvabla elements of semigroup PΓ(Λ×Λ)of binary relations determined by the semilattice Γ on the set Λ
%A 林屏峰
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.060
%X 摘要： 设Λ是任意的非空集合,Γ是集合Λ上的半格,PΓ(Λ×Λ)是集合Λ上的半格Γ确定的二元关系半群。得到了半群PΓ(Λ×Λ)的不可分解元的一个充分必要条件,并且在一定条件下找到了一类不可分解元。<br>Abstract: Let Λ be an arbitrary nonempty set, and Γ be a semilattice on the set Λ. Let PΓ(Λ×Λ)is a semigroup of binary relations determined by the semilattice Γ on the set Λ. In the semigroup PΓ(Λ×Λ), a necessary and sufficient condition of non-solvable elements is obtained,and a class of non-solvable elements is found under certain conditions
%K 不可分解元
%K 二元关系半群
%K 半格
%K &lt
%K br&gt
%K semigroup of binary relations
%K non-solvable elements
%K semilattices
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.060