Product preservation and stable units for reflections into idempotent subvarieties
عنوان مقاله: Product preservation and stable units for reflections into idempotent subvarieties
شناسه ملی مقاله: JR_CGASAT-13-1_001
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_CGASAT-13-1_001
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Isabel A. Xarez - Department of Mathematics, University of Aveiro, Portugal.
Joao J. Xarez - CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal.
خلاصه مقاله:
کلمات کلیدی:
Isabel A. Xarez - Department of Mathematics, University of Aveiro, Portugal.
Joao J. Xarez - CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal.
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.
Semi-left-exactness, stable units, simple reflection, preservation of finite products, varieties of universal algebras, idempotent
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1323662/