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Zero-divisors among finite structures of a fixed type

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Abstract

Conditions are established which guarantee that a finite structure be a zero-divisor relative to the class of all finite structures of its type. These conditions are concerned with reducts, disjointness conditions on ranges and/or projections of operations and/or relations, and diophantine equations induced by a relation.

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References

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Appleson, R.R. Zero-divisors among finite structures of a fixed type. Algebra Universalis 6, 25–35 (1976). https://doi.org/10.1007/BF02485813

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  • DOI: https://doi.org/10.1007/BF02485813

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