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.
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}
}
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