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- 2016
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
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Abstract:
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。
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
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