Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/25995
Title: Product preservation and stable units for reflections into idempotent subvarieties
Author: Xarez, João José
Xarez, Isabel Andrade
Keywords: Semi-left-exactness
Stable units
Simple reflection
Preservation of finite products
Varieties of universal algebras
idempotent
Issue Date: 2019
Publisher: Shahid Beheshti University, Tehran, Iran
Abstract: 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 that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds.
Peer review: yes
URI: http://hdl.handle.net/10773/25995
ISSN: 2345-5853
Appears in Collections:CIDMA - Artigos
AGG - Artigos
DMat - Artigos

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