Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MODULE-LIKE PROPERTIES ON FREE AUTOMATA

  • Published : 2000.01.01

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Abstract

In this paper we define linearly independent, basis, free, torsion-free and torsion-free completely on an automation. We prove a theorem describing a relationship between free and torsion-free completely on automata. Also we prove some important properties of them. Furthermore, we discuss some theorems associated with free.

Keywords

References

  1. J. Korean Math. Soc. v.29 no.1 Generalized Semi-Automorphism Groups of Modules C.H. Park
  2. Comm. Korean Math. Soc. v.8 no.3 Some Remarks on the Automata-Homomorphism C.H. Park
  3. Semigroup Forum v.48 On right congruences associated with the input semigroup S of automata C.H. Park
  4. Pure mathematics and Applications, Ser. A v.3 no.3-4 On projective automata Robert H. Oehmke
  5. Modules and Rings F.Kasch
  6. J. Korean Math. Soc. v.35 no.1 Strong-max cyclic submodules C.H. Park