Tropical semiring

In idempotent analysis, the tropical semiring is a semiring of extended real numbers with the operations of minimum (or maximum) and addition replacing the usual ("classical") operations of addition and multiplication, respectively.

The tropical semiring has various applications (see tropical analysis), and forms the basis of tropical geometry. The name tropical is a reference to the Hungarian-born computer scientist Imre Simon, so named because he lived and worked in Brazil.^[1]

^ Pin, Jean-Éric (1998). "Tropical semirings" (PDF). In Gunawardena, J. (ed.). Idempotency. Publications of the Newton Institute. Vol. 11. Cambridge University Press. pp. 50–69. doi:10.1017/CBO9780511662508.004. ISBN 9780511662508.

[Pin1998-1] Pin, Jean-Éric (1998). "Tropical semirings" (PDF). In Gunawardena, J. (ed.). Idempotency. Publications of the Newton Institute. Vol. 11. Cambridge University Press. pp. 50–69. doi:10.1017/CBO9780511662508.004. ISBN 9780511662508.

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