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product preservation and stable units forreflections into idempotent subvarieties
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نویسنده
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xarez isabel a. ,xarez joao j.
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منبع
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categories and general algebraic structures with applications - 2020 - دوره : 13 - شماره : 1 - صفحه:1 -22
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چکیده
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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 semileftexact 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 abovementioned condition holds.
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کلیدواژه
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semi-left-exactness ,stable units ,simple reflection ,preservation of finite products ,varieties of universal algebras ,idempotent
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آدرس
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university of aveiro, department of mathematics, portugal, university of aveiro, center for research and development in mathematics and applications, department of mathematics, portugal
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پست الکترونیکی
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xarez@ua.pt
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Authors
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