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A LOGICAL AND ALGEBRAIC CHARACTERIZATION OF ADJUNCTIONS BETWEEN GENERALIZED QUASI-VARIETIES

Published online by Cambridge University Press:  23 October 2018

TOMMASO MORASCHINI
TOMMASO MORASCHINI*
Affiliation:
DEPARTMENT OF THEORETICAL COMPUTER SCIENCEINSTITUTE OF COMPUTER SCIENCE CZECH ACADEMY OF SCIENCES PRAGUE, CZECH REPUBLIC E-mail: moraschini@cs.cas.cz
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Abstract

We present a logical and algebraic description of right adjoint functors between generalized quasi-varieties, inspired by the work of McKenzie on category equivalence. This result is achieved by developing a correspondence between the concept of adjunction and a new notion of translation between relative equational consequences.

Keywords

18A1518A4003C0503G27adjunctionadjoint functorcategory theoryuniversal algebracategory equivalencematrix powercontextual translationlocally presentable category
Type
Articles
Information
The Journal of Symbolic Logic , Volume 83 , Issue 3 , September 2018 , pp. 899 - 919
Copyright
Copyright © The Association for Symbolic Logic 2018 

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