弱Gorenstein FP-内射模

Gorenstein FP-Injective Modules

研究了弱Gorenstein FP-内射模,证明了凝聚环上弱Gorenstein FP-内射模是强Gorenstein FP-内射模的直和项,利用弱Gorenstein FP-内射模对FP-自内射环进行了刻画,讨论了凝聚环上FP-内射模类、Gorenstein FP-内射模类和弱Gorenstein FP-内射模类三者之间的联系.

Weak Gorenstein FP-injective modules are investigated. It is proved that a weak Gorenstein FP-injective module is a di- rect summand of a strongly Gorenstein FP-injective module over coherent rings. Moreover, self-FP-injective rings are characterized in terms of weak Gorenstein FP-injective modules, and some connections among the classes of FP-injective modules, Gorenstein FP-injec- tive modules and weak Gorenstein FP-injective modules over coherent rings are discussed.