Monoid-matrix type automata

  • Authors:
  • Hui Xu;Jing Tian;Xianzhong Zhao

  • Affiliations:
  • Department of Mathematics, Northwest University, Xian, Shaanxi, 710127, PR China and School of Science, Air Force Engineering University, Xian, Shaanxi, 710051, PR China;School of Science, Xian University of Technology, Xian, Shaanxi, 710048, PR China;College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi, 330022, PR China

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2014

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Abstract

Monoid-matrix type automata are introduced and studied in this paper. We give a characterization of the cyclic monoid-matrix type automata and the regular monoid-matrix type automata. Also, we provide a method to determine the structures of canonical S@?-automata (canonical C-automata, respectively) whose endomorphism monoids are isomorphic to a given finite meet semilattice with the greatest element (Clifford monoid, respectively).