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Rings (Integral Domain (Euclidean Domain, Principal Ideal Domain, Unique…
Rings
Ideal \( I \)
Principal Ideal \((r)\) #
Prime Ideal: \(ab\in I \implies a \text{ or } b \in I \) \(\ \iff R/I \) is an integral domain #
Maximal Ideal: \(I \) is a maximal ideal if for any ideal \(I \leqslant J \leqslant R\) we have \(J = R \) \(\iff R/I \) is a field
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