Weakly secondary submodules

الملخص EN

Let M be a non-zero right module over a ring R with an identity.

The weakly secondary submodule is introduced in this paper.

A non-zero submodule iV of M is weakly secondary submodule when Nab E K.

where a.

b e R and K is a submodule of M implies either Ha E K or Nbc E K for some positive integer t.

Some relationships between this class of modules and other related modules are discussed and number of conclusions and characterizations are obtained.