通过切分及其他方式补全正名群

Pub Date : 2023-12-19 DOI:10.1007/s00233-023-10402-w

Shuang Li, Xia Zhang

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引用次数: 0

摘要

这项工作致力于通过切割来描述一个posemigroup的完成。我们引入了posemigroups之间的切割稳定形态，并得到了具有满足和残差保留形态的量子范畴（{\mathsf {RQuant_{\wedge }}}）是具有切割稳定形态的posemigroups范畴（{\textsf{CSPoSgr}}）的全反映子范畴。作为应用，我们还通过下切来描述了其他类型的posemigroups补全。

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Completions of posemigroups by cuts and beyond

This work is devoted to describing the completion of a posemigroup by cuts. We introduce cut-stable morphisms between posemigroups and obtain that the category \({\mathsf {RQuant_{\wedge }}}\) of quantales with meet and residuals preserving morphisms is a full reflective subcategory of the category \({\textsf{CSPoSgr}}\) of posemigroups with cut-stable morphisms. As an application, we also characterize other kinds of completions for posemigroups by means of lower cuts.

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