Fu Yan
Abstract
As the natural generalion of the direct-injective module and generalized injective module,this paper introduces the concept of generalized direct-injective module and obtain some characters of it.It is proved that ⊕ni=1Mi is direct-injective if and only if each Mi(i=1,2,......n) is direct-injective.
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As the natural generalion of the direct-injective module and generalized injective module,this paper introduces the concept of generalized direct-injective module and obtain some characters of it.It is proved that ⊕ni=1Mi is direct-injective if and only if each Mi(i=1,2,......n) is direct-injective.
Key concepts: Injective function, Injective module, Monomorphism, Mathematics, Pure mathematics, Divisible group, Module, Horizontal line test