Definition 33.16.1. For any ring R the dual numbers over R is the R-algebra denoted R[\epsilon ]. As an R-module it is free with basis 1, \epsilon and the R-algebra structure comes from setting \epsilon ^2 = 0.
Definition 33.16.1. For any ring R the dual numbers over R is the R-algebra denoted R[\epsilon ]. As an R-module it is free with basis 1, \epsilon and the R-algebra structure comes from setting \epsilon ^2 = 0.
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