What is pragmatism?

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In those cases where factorizations can be shown to be unique in the above sense, the term "prime" is often restricted to those irreducible elements which are not invertible and have some ad hoc additional feature which ensures factorization unicity. (We keep as primes only positive numbers in the case of integers, or polynomials with leading coefficients equal to 1 in the case of polynomials.) In this context, invertible elements are commonly called "units". "Units" and "primes" play totally different roles in this general scheme. +1 and -1 are units, they are not primes.

Pages: 284

Publisher: University of California Libraries (January 1, 1909)


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