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- W3036860488 abstract "The standard categorical notion of a categorical quotient is insufficient, in that it fails to recover the expected quotients in certain categories. We present an alternative formulation of $mathcal{F}$-quotients in a category $mathbf{C}$, which are relativized to a faithful functor $mathcal{F}: mathbf{C} to mathbf{D}$. The isomorphism theorems of universal algebras generalize to this setting, and we additionally find important links between $mathcal{F}$-quotients in the concrete category of first-order structures, and quotients defined for model-theoretic equivalence classes." @default.
- W3036860488 created "2020-06-25" @default.
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- W3036860488 date "2020-06-21" @default.
- W3036860488 modified "2023-09-27" @default.
- W3036860488 title "Categorical $mathcal{F}$-quotients and model-theoretic isomorphism theorems" @default.
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