We show that a permutative variety of posemigroups satisfying a permutation identity \(x_1x_2\cdots x_n=x_{i_1}x_{i_2}\cdots x_{i_n}\) with \(i_1\ne 1~ \text{ and }~i_{n-1}\ne n-1 ~[i_n\ne n~\text{ and }~i_{2}\ne 2]\) is saturated if and only if it admits an identity I such that I is not a permutation identity and at least one side of I has no repeated variables. Then we show that the variety of po-rectangular bands is saturated. Finally, we show that a posemigroup S is saturated if the subposemigroup \(S^n\), the product of n copies of S, is saturated for some positive integer n.

我们证明了满足置换身份\（x_1x_2 \ cdots x_n = x_ {i_1} x_ {i_2} \ cdots x_ {i_n} \）的置换姿势组具有\（i_1 \ ne 1〜\ text {和}〜i_ {n-1} \ ne n-1〜[i_n \ ne n〜\ text {和}〜i_ {2} \ ne 2] \）是饱和的，当且仅当它接受身份I使得我不是置换身份和我的至少一侧没有重复的变量。然后我们表明，对角矩形带的变化是饱和的。最后，我们表明，posemigroup小号如果subposemigroup饱和\（S ^ N \） ，该产品的ñ的副本小号，饱和的正整数ñ。