Jiang Xia
Abstract
The concept of generalized injective module is introduced.It is proved that M=~n_(i=1)M_i is injective if and only if each M_i,i=1,2,…,n is injective.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The concept of generalized injective module is introduced.It is proved that M=~n_(i=1)M_i is injective if and only if each M_i,i=1,2,…,n is injective.
Key concepts: Injective function, Injective module, Mathematics, Monomorphism, Pure mathematics, Computer science