Projective sup-algebras: a general view |
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Authors: | Jan Paseka |
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Institution: | Department of Mathematics, Masaryk University, Janá?kovo nám. 2a, 602 00 Brno, Czech Republic |
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Abstract: | We begin with the notion of K-flat projectivity. For each sup-algebra L we then introduce a binary relation L? on it. The K-flat projective sup-algebras are exactly such sup-algebras with each element a approximated by the element x, xL?a and the relation L? being stable with respect to the operations on L. Further on, we introduce the notion of a K-comonad and characterize K-flat projective sup-algebras as such sup-algebras having a coalgebra structure for the K-comonad. |
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Keywords: | 54B30 18B35 06D22 06F07 |
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