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On some properties of PPF ring. (Chinese. English summary) Zbl 0732.16007

Summary: We discuss some properties of commutative PPF rings. Semiprime PPF rings are hereditary noetherian and Baerian. Every faithful ideal of a PPF ring is a progenerator. PPF rings keep Morita equivalence. In theorem 12, the author discusses the relation between PPF rings and Kasch rings.

MSC:

16D90 Module categories in associative algebras
16S90 Torsion theories; radicals on module categories (associative algebraic aspects)
13C11 Injective and flat modules and ideals in commutative rings
16D50 Injective modules, self-injective associative rings
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