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2005•Jilin Normal University JournalRequires access

Note on FG-injective Modules and FP-injective Modules

Wang Xiu-li

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Abstract

In this paper,we mainly discuss some relative properties of FG-injective modules and FP-injective modules,research emphasizely their properties in coherent rings and FG-IF rings.Meanwhile,we also give the relation between the two kinds modules,i.e.,FG-injective modules are FP-injective modules,Moreover,the two kinds modules are equivalent each other in Noether rings,they are all equal to injective modules.

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What this paper is about

In this paper,we mainly discuss some relative properties of FG-injective modules and FP-injective modules,research emphasizely their properties in coherent rings and FG-IF rings.Meanwhile,we also give the relation between the two kinds modules,i.e.,FG-injective modules are FP-injective modules,Moreover,the two kinds modules are equivalent each other in Noether rings,they are all equal to injective modules.

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Available abstract

In this paper,we mainly discuss some relative properties of FG-injective modules and FP-injective modules,research emphasizely their properties in coherent rings and FG-IF rings.Meanwhile,we also give the relation between the two kinds modules,i.e.,FG-injective modules are FP-injective modules,Moreover,the two kinds modules are equivalent each other in Noether rings,they are all equal to injective modules.

Key concepts: Injective function, Injective module, Module, Mathematics, Monomorphism, Pure mathematics, Flat module, Projective module

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