论文标题

关于模糊子组与$ f $ inverse underse的连接

On a connection between fuzzy subgroups and $F$-inverse covers of inverse monoids

论文作者

Pasku, Elton

论文摘要

我们定义了两个类别,分类$ \ Mathfrak {f} \ Mathfrak {g} $的模糊子组和类别$ \ Mathfrak {F} \ Mathfrak {f} \ Mathfrak {C} $ $ f $ f $ - invessem-invesse-invesse covers of Forsevers of Forvessemots,prove usever of Flose Embed useve $ \ Mathfrak in Mathfrak in Mathfrak} $ \ Mathfrak {f} \ Mathfrak {C} $。这表明,至少从分类的角度来看,模糊的亚组属于标准数学和模糊一样。

We define two categories, the category $\mathfrak{F}\mathfrak{G}$ of fuzzy subgroups, and the category $\mathfrak{F}\mathfrak{C}$ of $F$-inverse covers of inverse monoids, and prove that $\mathfrak{F}\mathfrak{G}$ fully embeds into $\mathfrak{F}\mathfrak{C}$. This shows that, at least from a categorical viewpoint, fuzzy subgroups belong to the standard mathematics as much as they do to the fuzzy one.

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