Journal of applied mathematics & informatics

  • 제9권2호
  • /
  • Pages.705-716
  • /
  • 2002
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON THE FREE AUTOMATA AND TENSOR PRODUCT

  • 발행 : 2002.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we shall introduce the algebraic structure of a tensor product for arbitrarily given automata, giving a defintion of the tensor product for automata. We introduce and study that for any set X there always exists a free automaton on X. The existence of a tensor product for automata will be investigated in the same way like modules do.

키워드

참고문헌

  1. Pure Mathematics and Applications v.5 no.2 On free and torsion-free automata C.H.Park
  2. Semigroup Forum v.48 On right congruences associated with the input semigroup S of automata C.H.Park
  3. J. ACM v.10 On the structure of an automaton and its input semigroup Robert H. Oehmke
  4. Semigroup Forum v.15 The semigroup of a strongly connected automaton Robert H. Oehmke
  5. Pure mathematics and Applications, Ser. A v.3 no.3-4 On projective automata Robert H. Oehmke
  6. Algebraic Theory of Automata F. Gecseg;I. Peak
  7. Algebraic Theory of Automata F.Gecseg;I.Peak
  8. Korean J. Comput. and Appl. Math v.5 no.3 the direct product of right congruences Robert H. Oehmke