作为超布尔收缩的分配半格;无附加的函逆
Distributive semilattices as retracts of ultraboolean ones; functorial inverses without adjunction
摘要：
（v，0）-半格是超布尔格，如果它是有限布尔（v，0）-半格的有向并.证明了每个分配（v，0）-半格都是某些超布尔（v，0）-半格的收缩核.这是通过证明每个有限分配（v，0）-半格是某个有限布尔（v，0）-半格的收缩而建立的，并且这是以函子的方式。这个结果是，反过来，作为一个特殊情况下的范畴理论的结果，给出了充分条件，函子$ Pi$，承认一个右逆。用于上述超布尔半格结果的特殊函子$ Pi$既没有右伴随也没有左伴随.
英文摘要：
A (v,0)-semilattice is ultraboolean, if it is a directed union of finite Boolean (v,0)-semilattices. We prove that every distributive (v,0)-semilattice is a retract of some ultraboolean (v,0)-semilattices. This is established by proving that every finite distributive (v,0)-semilattice is a retract of some finite Boolean (v,0)-semilattice, and this in a functorial way. This result is, in turn, obtained as a particular case of a category-theoretical result that gives sufficient conditions, for a functor $ Pi$, to admit a right inverse. The particular functor $ Pi$ used for the abovementioned result about ultraboolean semilattices has neither a right nor a left adjoint.
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