Open Access
June 2017 Algebra and local presentability: how algebraic are they? (A survey)
Jiří Adámek, Jiří Rosický
Tbilisi Math. J. 10(3): 279-295 (June 2017). DOI: 10.1515/tmj-2017-0113

Abstract

This is a survey of results concerning the algebraic hulls of two 2-categories: $\mathbf{VAR}$, the 2- category of finitary varieties, and $\mathbf{LFP}$, the 2-category of locally finitely presentable categories.

Funding Statement

The second author is supported by the Grant agency of the Czech republic under the grant P201/12/G028.

Citation

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Jiří Adámek. Jiří Rosický. "Algebra and local presentability: how algebraic are they? (A survey)." Tbilisi Math. J. 10 (3) 279 - 295, June 2017. https://doi.org/10.1515/tmj-2017-0113

Information

Received: 28 September 2017; Revised: 2 December 2017; Published: June 2017
First available in Project Euclid: 20 April 2018

zbMATH: 06828616
MathSciNet: MR3745465
Digital Object Identifier: 10.1515/tmj-2017-0113

Subjects:
Primary: 18C10
Secondary: 08C05 , 18C35

Keywords: algebraic functor , algebraic theory , Duality , locally finitely presentable category , variety

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 3 • June 2017
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