Semigroup identities in the monoid of triangular tropical matrices.

DOI10.1007/s00233-013-9507-6zbMath1298.20071arXiv1305.3903OpenAlexW2017875602MaRDI QIDQ2447232

Zur Izhakian

Publication date: 25 April 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3903

zbMATH Keywords

semigroupsupper triangular matricestropical semiringsemigroup identitiesweighted digraphs

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Max-plus and related algebras (15A80)

Related Items (16)

Identities of the Semigroup of Upper Triangular Tropical Matrices ⋮ Semigroup identities of tropical matrix semigroups of maximal rank ⋮ Erratum to: ``Semigroup identities in the monoid of triangular tropical matrices ⋮ Representations and identities of plactic-like monoids ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ Identities of tropical matrix semigroups and the plactic monoid of rank 4 ⋮ Geometry and algorithms for upper triangular tropical matrix identities ⋮ Tropical linear representations of the Chinese monoid ⋮ Tropical representations and identities of the stylic monoid ⋮ Representations and identities of hypoplactic monoids with involution ⋮ Identities in upper triangular tropical matrix semigroups and the bicyclic monoid ⋮ Tropical plactic algebra, the cloaktic monoid, and semigroup representations ⋮ Equational theories of upper triangular tropical matrix semigroups ⋮ Tropical representations and identities of plactic monoids ⋮ The Shortest Identities for Max-Plus Automata with Two States. ⋮ Semigroup identities of supertropical matrices

Cites Work

• Semigroup identities in the monoid of two-by-two tropical matrices.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Identities in finitely generated semigroups of polynomial growth
• Max-linear Systems: Theory and Algorithms
• REACHABILITY PROBLEMS FOR PRODUCTS OF MATRICES IN SEMIRINGS
• Tropical algebraic geometry
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