Basic concepts of non-unique factorizations
Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)
We denote by Hx the set of invertible elements of H, and we say that H is reduced if Hx=1. Let Hred=H/Hx=aHx|a ∈ H be the associated reduced monoid and q(H) a quotient group of H.
KeywordsClass Group Dedekind Domain Ascend Chain Condition Noetherian Domain Combinatorial Number Theory
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© Birkhäuser Verlag 2009