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The Existence of Multiplicative Inverses
by Ricardo Alfaro and Steven Althoen
This article originally appeared in:College Mathematics Journal
May, 2006
Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 4.2 Mod Algebra I & II
Using only basic ideas from linear algebra and number theory, the authors show that if c is square-free, the ring is a field.
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