Journal of applied mathematics & informatics

  • 제4권2호
  • /
  • Pages.563-571
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

CYCLIC SUBMODULES AND MODULES ASSOCIATED WITH THEM

  • 발행 : 1997.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. J. Korean Math. Soc. v.29 no.1 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 Applications Ser. A v.5 no.2 On Free and Torsion-Free Automata C.H. Park
  4. Korean J. CAM v.2 no.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