TY - JOUR
ID - 87414
TI - Product preservation and stable units for reflections into idempotent subvarieties
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Xarez, Isabel A.
AU - Xarez, Joao J.
AD - Department of Mathematics, University of Aveiro, Portugal.
AD - CIDMA - Center for Research and Development in Mathematics and Applications,
Department of Mathematics, University of Aveiro, Portugal.
Y1 - 2020
PY - 2020
VL - 13
IS - 1
SP - 1
EP - 22
KW - Semi-left-exactness
KW - stable units
KW - simple reflection
KW - preservation of finite products
KW - varieties of universal algebras
KW - idempotent
DO - 10.29252/cgasa.13.1.1
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_87414.html
L1 - https://cgasa.sbu.ac.ir/article_87414_21aaa0f023a24966934d960fd660049a.pdf
ER -