Erratum to: Semigroup identities in the monoid of triangular tropical matrices

Semigroup Forum Erratum to: Semigroup identities in the monoid of triangular tropical matrices Zur Izhakian 0 B Zur Izhakian 0 0 0 Department of Mathematics, University of Bremen , 28359 Bremen , Germany One of the conditions in the main result of the paper [1] is too strict as it stands: Theorem 4.8 should be replaced as follows. Theorem 4.8 Any two triangular tropical matrices X, Y ∈ Un (T) having the same diagonal satisfy the (nontrivial) identities: and w(C,P,n−1) Y w(C,P,n−1) are generated by C and powers P . where w(C,P,n−1) is any word having as its factors all the words of length n − 1 generated by C = { X, Y } of powers P = {1, 2, . . . , n −1}, such that w(C,P,n−1) X w(C,P,n−1) The proof of the theorem appears in [2, Theorem 4.5]. - The online version of the original article can be found under doi:10.1007/s00233-013-9507-6. 1. Izhakian , Z. : Semigroup identities in the monoid of triangular tropical matrices . Semigroup Forum 88 ( 1 ), 145 - 161 ( 2014 ) 2. Izhakian , Z. : Semigroup identities of tropical matrix semigroups of maximal rank . Semigroup Forum (to appear). http://link.springer.com/article/10.1007% 2Fs00233 - 015 -9765-6 (...truncated)