二元关系和划分的Mitsch序和包含
Mitsch's order and inclusion for binary relations and partitions
摘要：
米契的自然偏序半群的二元关系在这里的特点是方程理论的关系代数。自然偏序与包含的相容偏序之间有着复杂的关系，本文利用半群上的前序格的子格来探讨这一关系。还描述了相应的子格的划分么半群。
英文摘要：
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equations in the theory of relation algebras. The natural partial order has a complex relationship with the compatible partial order of inclusion, which is explored by means of a sublattice of the lattice of preorders on the semigroup. The corresponding sublattice for the partition monoid is also described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
