Neat embeddings as adjoint situations

Tarek Sayed Ahmed

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arXiv · 1304.0714

Neat embeddings as adjoint situations

Tarek Sayed Ahmed

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Abstract

We view the neat reduct operator as a functor that lessens dimensions from CA_{α+ω} to CA_α for infinite ordinals α. We show that this functor has no right adjoint. Conversely for polyadic algebras, and several reducts thereof, like Sain's algebras, we show that the analagous functor is an equivalence.

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BibTeX RIS

Tarek Sayed Ahmed. 2013-04-02. Neat embeddings as adjoint situations. https://arxiv.org/abs/1304.0714

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