交换可消中间岩浆范畴中的内幺半群和群
Internal monoids and groups in the category of commutative cancellative medial magmas
摘要：
本文研究了具有消去的交换中介岩浆范畴，它是中点代数和具有消去的交换半群的推广。在这个范畴中，每个对象对于任何给定的单位至多允许一个内部幺半群结构。研究了内部幺半群和内部群的存在条件，以及内部自反关系是同余的条件。
英文摘要：
This article considers the category of commutative medial magmas with cancellation, a structure that generalizes midpoint algebras and commutative semigroups with cancellation. In this category each object admits at most one internal monoid structure for any given unit. Conditions for the existence of internal monoids and internal groups, as well as conditions under which an internal reflexive relation is a congruence, are studied.
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。
