Abstract:

This study identified large g-templated modules and studied a number of features related to these modules. In this study, all rings are united and all modules are united left modules. G is a R-module. If each major submodule of the M module has a g-tumb in M, the M module is called a large g-tumbed module. Clearly we can see that every g-templated module is big g-templated. Therefore, large g-templated modules are more generally structured than g-templated modules. Each (generalized) shell and every local module is big g-templated. Get a large g-told R-module. If each submodule of the M module is larger than zero, the M module is g-templated. It has been proven that a large g-templated module is a major g-templated module and that each homomorphic image is also a major g-templated module. It was also shown that the final sum of large g-templated modules was also large g-templated. M is a large g-called module. In this case, the M/RadgM module does not have any large submodules. Get a large g-told R-module. In this case, each final M-produced R-module is a large g-templated. R is a people. In this case, it is necessary that the RR module is big g-tulled and the sufficient condition is that each end-produced R-module is big g-tulled. G is a R-module. If each major submodule of the M module is equal to a large submodule in the M with the g* connection, the M module is a large g-template.