Abstract
We describe automorphisms of the semigroup G n (R) of invertible matrices with nonnegative coefficients in the case where R is a commutative partially ordered ring containing ℚ and n ≥ 3.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. I. Bunina and A. V. Mikhalev, “Automorphisms of the semigroup of invertible matrices with nonnegative elements,” Fundament. Prikl. Mat., 11, No. 2, 3–23 (2005).
S. N. Ilyin, “Invertible matrices over (nonassociative) antirings,” in: Universal Algebra and Its Applications [in Russian], Peremena, Volgograd (2000), pp. 81–89.
A. V. Mikhalev and M. A. Shatalova, “Automorphisms and antiautomorphisms of the semigroup of matrices with nonnegative elements,” Mat. Sb., 81, No. 4, 600–609 (1970).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 2, pp. 69–100, 2008.
Rights and permissions
About this article
Cite this article
Bunina, E.I., Semenov, P.P. Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings. J Math Sci 162, 633–655 (2009). https://doi.org/10.1007/s10958-009-9650-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-009-9650-5