<italic>n</italic>- 强Gorenstein FP- 内射模

Abstract

For any positive integer <italic>n</italic>, we introduce and study <italic>n</italic>-strongly Gorenstein FP-injective modules. Some examples are given to show that <italic>n</italic>-strongly Gorenstein FP-injective modules need not be <italic>m</italic>-strongly Gorenstein FP-injective modules whenever <italic>n</italic> > <italic>m</italic>. Many properties of <italic>n</italic>-strongly Gorenstein FP-injective modules are discussed, some known results are obtained as corollaries. Finally, we characterize <italic>n</italic>-strongly Gorenstein Von Neumann regular rings in terms of <italic>n</italic>-strongly Gorenstein FP-injective modules.