The max-plus algebra of the natural numbers has no finite equational basis. Aceto, L., Ésik, Z., & Ingólfsdóttir, A. Theor. Comput. Sci., 293(1):169–188, 2003.
The max-plus algebra of the natural numbers has no finite equational basis [link]Paper  doi  bibtex   
@article{DBLP:journals/tcs/AcetoEI03a,
  author    = {Luca Aceto and
               Zolt{\'{a}}n {\'{E}}sik and
               Anna Ing{\'{o}}lfsd{\'{o}}ttir},
  title     = {The max-plus algebra of the natural numbers has no finite equational
               basis},
  journal   = {Theor. Comput. Sci.},
  volume    = {293},
  number    = {1},
  pages     = {169--188},
  year      = {2003},
  url       = {https://doi.org/10.1016/S0304-3975(02)00236-0},
  doi       = {10.1016/S0304-3975(02)00236-0},
  timestamp = {Sun, 28 May 2017 01:00:00 +0200},
  biburl    = {https://dblp.org/rec/bib/journals/tcs/AcetoEI03a},
  bibsource = {dblp computer science bibliography, https://dblp.org}
}

Downloads: 0