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Showing 1 to 4 of 4 for “"Noetherian rings"”.
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The Baer Criterion For Injective Modules Over Noetherian Rings
… modules. Then we considered the case when R is a Noetherian ring. We discovered that in this case we can refine our criteria for testing modules for injectivity.
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On Gorenstein Projective and Gorenstein Flat Modules
… this statement by showing over commutative Noetherian rings of finite Krull dimension, every Gorenstein at module has finite Gorenstein projective dimension. This statement is the Gorenstein counterpart of a famous theorem of Gruson, Jensen, and Raynaud. Using this result we prove that over …
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On the theory of Krull rings and injective modules
… chapter we give an outline of classical KRULL rings as in SAMUEL (1964), BOURBAKI (1965) and FOSSUM (1973). In the second chapter we introduce two notions important to our treatment of KRULL theory. The first is injective modules and.the second torsion theories. We then look at injective …