Strong-max cyclic submodules

  • Chin-Hong Park (Department of Mathematics Sunmoon University Asan 336-840, Korea)
  • Published : 1998.02.01

Abstract

In this paper we define CR(completely reachable), MICR(minimal cyclic refinement) and MACR(maximal cyclic refinement)-Modules. We have obtained equivalent statements for minimal cyclic submodule and maximal cyclic submodule. Also, we have obtained necessary and sufficient conditions for a module M with MICR to be cyclic or strongly cyclic.

Keywords

References

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