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Original Articles

Generating sets in orthogonal and symplectic rook monoids

ORCID Icon, , &
Pages 2021-2034 | Received 22 Jan 2018, Accepted 02 Sep 2018, Published online: 22 Feb 2019

References

  • Ayik, G., Ayik, H., Howie, J. (2005). On factorization and generators in transformation semigroups. Semigroup Forum. 70(2):225–237.
  • Cao, Y., Li, J., Li, Z. (2014). The symplectic monoid. Commun. Algebra. 42(12):5425–5453.
  • Ganyushkin, O., Mazorchuk, V. (2009). Classical Finite Transformation Semigroups: An Introduction. London: Springer.
  • Howie, J. (1966). The subsemigroup generated by the idempotents of a full transformation semigroup. J. London Math. Soc. 1–41(1):707–716.
  • Li, Z., Li, Z., Cao, Y. (2008). Representations of the symplectic rook monoid. Int. J. Algebra Comput. 18(5): 837–852.
  • Li, Z. (2003). Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids. J. Algebra. 270(2):445–458.
  • Li, Z., Renner, L. (2003). The Renner monoids and cell decompositions of the symplectic algebraic monoids. Int. J. Algebra Comput. 13(2):111–132.
  • Putcha, M. (1988). Linear Algebraic Monoids, London Math. Soc. Lecture Note Series, Vol. 133. Cambridge, UK: Cambridge University Press.
  • Renner, L. (2005). Linear Algebraic Monoids, Series: Encyclopedia of Mathematical Sciences, Vol. 134. Berlin: Springer-Verlag.
  • Solomon, L. (1995). An introduction to reductive monoids. In: Fountain, J., ed. Semigroups, Formal Languages and Groups. Dordrecht: Kluwer Academic Publishers, pp. 295–352.
  • Vorob’ev, N. (1953). On symmetric associative systems, Leningrad. Gos. Ped. Inst. Uchen. Zap. 89:161–166.

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