Product preservation and stable units for reflections into idempotent subvarieties
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Index date: 28 November 2021
Product preservation and stable units for reflections into idempotent subvarieties abstract
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.
Product preservation and stable units for reflections into idempotent subvarieties Keywords:
Product preservation and stable units for reflections into idempotent subvarieties authors
Department of Mathematics, University of Aveiro, Portugal.
CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal.
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