关于斜格的陪集结构
On the coset structure of a skew lattice
摘要：
斜格类可以看作是一个代数范畴。它模拟了集合范畴中的代数理论，其中格林关系D是描述格范畴的一个附加物的同余。在本文中，我们将讨论这种方法的相关性，重新审视一些已知的分解和相关的序结构的斜格与其陪集结构，描述了内部陪集分解各自的代数。
英文摘要：
The class of skew lattices can be seen as an algebraic category. It models an algebraic theory in the category of Sets where the Green's relation D is a congruence describing an adjunction to the category of Lattices. In this paper we will discuss the relevance of this approach, revisit some known decompositions and relate the order structure of a skew lattice with its coset structure that describes the internal coset decomposition of the respective algebra.
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。
