论文标题

通用代数的共生品种的表征

Characterization of coextensive varieties of universal algebras

论文作者

Broodryk, David Neal

论文摘要

可以将共生类别定义为具有有限产品的类别$ \ Mathcal {C} $,以便每对$ x,y $ y Mathcal {c} $,canonical functor $ \ times $ \ times \ colon x/\ colon x/\ mathcal x/\ mathcal {c} c} \ times y/\ times y/\ mathcal {c} c} c} y)/\ Mathcal {C} $是等价。我们给出了普遍代数的共生品种的句法表征。

A coextensive category can be defined as a category $\mathcal{C}$ with finite products such that for each pair $X,Y$ of objects in $\mathcal{C}$, the canonical functor $\times\colon X/\mathcal{C} \times Y/\mathcal{C} \to (X \times Y)/\mathcal{C}$ is an equivalence. We give a syntactical characterization of coextensive varieties of universal algebras.

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