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Original Articles

Identities of the Semigroup of Upper Triangular Tropical Matrices

Pages 4422-4426 | Received 08 May 2014, Published online: 06 Jul 2015

REFERENCES

  • Adjan , S. I. ( 1966 ). Defining relations and algorithmic problems for groups and semigroups. Proc. Steklov Institute of Mathematics 85, 152 pp., American Mathematical Society .
  • Izhakian , Z. ( 2014 ). Semigroup identities in the monoid of triangular tropical matrices . Semigroup Forum 88 : 145 – 161 .
  • Izhakian, Z., Johnson, M., Kambites, M. Tropical matrix groups. Preprint, arXiv:1203.2449v1 .
  • Izhakian , Z. , Margolis , S. W. ( 2010 ). Semigroup identities in the monoid of two-by-two tropical matrices . Semigroup Forum 80 : 191 – 218 .
  • Okniński , J. ( 1998 ). Semigroups of Matrices . Singapore : World Scientific .
  • Shitov , Y. ( 2012 ). Tropical matrices and group representations . J. Algebra 370 : 1 – 4 .
  • Communicated by E. Puczylowski.

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