Factorization in Rings

J. J. P. Veerman ()
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J. J. P. Veerman: Portland State University

Chapter Chapter 8 in Numbers from all Angles, 2026, pp 147-170 from Springer

Abstract: Abstract We now get back to factorization. It is instructive to go back to the discussion of the proof of unique factorization in $$\mathbb {Z}$$Z (Sect. 2.3 ) at this point. Our familiarity with $$\mathbb {Z}$$Z may hide underlying structures from us. To circumvent this familiarity, we study factorization in more general rings. Perhaps unexpectedly, at this level of generality, pretty much anything can happen, as we show in the first section below. For example, primes and irreducibles may not be the same.

Date: 2026
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DOI: 10.1007/978-3-032-10000-9_8

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