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Idempotents à la mod

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Abstract:

An idempotent satisfies the equation x 2 = x. In ordinary arithmetic, this is so easy to solve it's boring. We delight the mathematical palette here, topping idempotents off with modular arithmetic and a series of exercises determining for which n there are more than two idempotents (mod n) and exactly how many there are.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/college.math.j.43.5.401

Publication date: November 1, 2012

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