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Status	Last Update	Fields
Published	02/26/2024	Definition Euclidean domain
Published	02/26/2024	Theorem 1.1: Euclidean domain \(\implies\) {{c1::principal ideal domain}}
Published	02/26/2024	Definition irreducible
Published	02/26/2024	Definition prime
Published	02/26/2024	Definition associates
Published	02/26/2024	Definition greatest common divisor
Published	02/26/2024	Remark.let \(I = (a,b)\) then \(d = \gcd(a,b)\)i) \((a,b) \) {{c1::\(\subset (d)\)}}ii) if \(( \tilde d)\) is a pri…
Published	02/26/2024	Lemma 1.2: Let \(R\) be an integral domain then1) every prime element is {{c1::irreducible}}2) \(0 \ne p \in R\), \(p \) is p…
Published	02/26/2024	Remark.In \(\mathbb Z\): irreducible {{c1::\(\iff\) prime}}but in general for integral domains: irreducible {{c1::\(\nRightarrow\)&nbsp…
Status	Last Update	Fields