GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
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Abstract:
The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.
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Journal title
volume 3 issue 1
pages 23- 30
publication date 2015-06-01
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