A note on primary-like submodules of multiplication modules

Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly.  In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful property.

کلیدواژه ها:

Primary ، Primary-like submodule ، like submodule ، weakly primary-like submodule ، primeful property ، weakly primary ، multiplication module