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Let \(A\) be a commutative ring with 1. \(A\) is called catenary if for every prime ideals \(p\subset p'\), there exists a saturated chain of prime ideals (i.e., a chain which cannot be refined with prime ideals) starting from \(p\) and ending at \(p'\), and each such chain has the same finite length. A proper submodule \(K\) of the right \(A\)-module \
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