| In this paper,FR-injective modules,FR-flat modules, FR-flat dimen-sion and FR-injective dimension of modules and rings are investigated. First-ly, we define FR-injective (resp. flat) modules, and discuss FR-injective (resp. flat) dimension of modules and rings, and give some homological characterizations of these modules. Finally, we study the class FRX≤n of modules with.FR-injective dimension at most n and the class FRF≤n of modules with FR-flat dimension at most n when R is left 1-coherent rings. |
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