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Let R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitting ideal of the module M=Rm/K. A lemma of Lipman asserts that if R is quasilocal and I is the (m−q)th Fitting ideal of M, then I is regular principal if and only if K is finitely generated free and M/T(M) is free of rank m−q. (Here T(M) is the submodule of M consisting of all elements of M that are annihilated...
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