Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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Strong-max cyclic submodules

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

  1. K. Korean Math. Soc. v.29 Generalized Semiautomorphism Group of Modules C.H. Park
  2. semigroup Forum v.48 On right congruences associated with the input Semigroup S of Automata C.H. Park
  3. Pure Mathematics and Application Ser. A On Free and Torsion-Free Automata, vol. 5 C.H. Park
  4. Korean J. Comput. and Appl. Math. v.2 Small and Large Automata C.H. Park
  5. Modules and Rings F. Kasch
  6. Modules and the Structure of Rings J.S, Golan;T. Head