Abstract
A universal algebraA is calledk-affine complete, if any function of the Cartesian powerA k intoA, which is compatible with all congruence relations ofA, is a polynomial function.A is called affine complete, if it isk-affine complete for every integerk. In this paper, all affine complete finitely generated modules are characterized. Moreover, the paper contains some results on functions compatible with all congruence relations of an algebra, and on affine complete algebras in general.
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Herrn Prof. Dr. E. Hlawka zum 60. Geburtstag gewidmet
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Nöbauer, W. Über die affin vollständigen, endlich erzeugbaren Moduln. Monatshefte für Mathematik 82, 187–198 (1976). https://doi.org/10.1007/BF01526325
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DOI: https://doi.org/10.1007/BF01526325