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Modules commuting (via Hom) with some limits

Robert El BashirTomáš Kepka — 1998

Fundamenta Mathematicae

For every module M we have a natural monomorphism   Φ : i I H o m R ( A i , M ) H o m R ( i I A i , M ) and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

Quasitrivial left distributive groupoids

Robert El BashirAleš Drápal — 1994

Commentationes Mathematicae Universitatis Carolinae

Left distributive quasitrivial groupoids are completely described and those of them which are subdirectly irreducible are found. There are also determined all left distributive algebras A = A ( * , ) such that A ( * ) is a quasitrivial groupoid.

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