內P-集合副集的σ-生成和σ-強生成

于秀清,董化玲,徐鳳生

(德州學院 數學系,山東 德州 253023)

0 引言與預備知識

αF=α∪{α′|βα,f(β)=α′∈α,f∈F},

(1)

(2)

這里:β∈V,βα;f∈F把β變成f(β)=α′∈α.

(3)

則稱XF是X生成的外P-集合(outer P-setXF),簡稱XF是外P-集合,且

XF=X∪{u|u∈U,uX,f(u)=x′∈X,f∈F},

(4)

1 內P-集合副集的σ-生成和σ-強生成

定義2如果

(5)

(6)

(7)

由定義1和定義2,可得如下結論.

?.

由定理3知: 對于?σ*∈(σ1,σ2],

所以

?,

于是

(8)

(9)

(10)

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