P-限制半群的λ-半直积

λ-semidirect products of P-restriction semigroups

引入了P-限制半群的λ-半直积的概念,证明了P-限制半群与局部限制的P-限制半群的λ-半直积仍为P-限制半群。特别地,证明了两个局部限制的P-限制半群的λ-半直积仍为局部限制的P-限制半群。

The concept of λ-semidirect products of P-restriction semigroups is introduced,and it is proved that the λ-semidirect product of a P-restriction semigroup and a locally restriction P-restriction semigroup forms a P-restriction semigroup.In particular,it is shown that the λ-semidirect product of two locally restriction P-restriction semigroups also forms a locally restriction P-restriction semigroup.