View source for Irreducible ideal

An ideal $I$ in a ring which cannot be expressed as the intersection of two strictly larger ideals: that is, $I = J \cap K \Rightarrow I=J \ \text{or}\ I=K$.

====References====
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<TR><TD valign="top">[1]</TD> <TD valign="top">  D.G. Northcott, "Ideal Theory", Cambridge Tracts in Mathematics '''42''' Cambridge University Press ISBN 0-521-60483-4 p.21</TD></TR>
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