TY - JOUR
T1 - Semigroup identities of tropical matrix semigroups of maximal rank
AU - Izhakian, Zur
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - We show that any semigroup of n-by-n tropical matrices whose elements all have rank n (i.e., a nonsingular semigroup) satisfies a class of nontrivial semigroup identities. These identities generalize the identities satisfied by the monoid of all n-by-n triangular tropical matrices.
AB - We show that any semigroup of n-by-n tropical matrices whose elements all have rank n (i.e., a nonsingular semigroup) satisfies a class of nontrivial semigroup identities. These identities generalize the identities satisfied by the monoid of all n-by-n triangular tropical matrices.
KW - Nonsingular matrices
KW - Rank-maximal semigroups
KW - Semigroup identities
KW - Semigroup representations
KW - Semigroup varieties
KW - Tropical (max-plus) matrix algebra
UR - http://www.scopus.com/inward/record.url?scp=84948961732&partnerID=8YFLogxK
U2 - 10.1007/s00233-015-9765-6
DO - 10.1007/s00233-015-9765-6
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AN - SCOPUS:84948961732
SN - 0037-1912
VL - 92
SP - 712
EP - 732
JO - Semigroup Forum
JF - Semigroup Forum
IS - 3
ER -