Zur Izhakian, Adi Niv, Louis Rowen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Extending earlier work on supertropical adjoints and applying symmetrization, we provide a symmetric supertropical version SLSn of the special linear group SLn, which we partially decompose into submonoids, based on ‘quasi-identity’ matrices, and we display maximal sub-semigroups of SLSn. We also study the monoid generated by SLSn and its natural submonoids. Several illustrative examples are given of unexpected behavior. We describe the action of elementary matrices on SLSn, which enables one to connect different matrices in SLSn, but in a weaker sense than the classical situation.

Original languageEnglish
Pages (from-to)1461-1483
Number of pages23
JournalLinear and Multilinear Algebra
Issue number7
StatePublished - 3 Jul 2018
Externally publishedYes


  • Supertropical matrix algebra
  • elementary matrix
  • matrix monoid
  • quasi-identity
  • special linear monoid
  • tropical adjoint matrix


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