Product preservation and stable units for reflections into idempotent subvarieties

We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows th...

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Bibliographic Details
Main Authors: Isabel A. Xarez, Joao J. Xarez
Format: Article
Language:English
Published: Shahid Beheshti University 2020-07-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_87414_21aaa0f023a24966934d960fd660049a.pdf