Article · Wikipedia archive · Last revised Aug 2, 2026

Idempotent analysis

In mathematical analysis, idempotent analysis is the study of idempotent semirings, such as the tropical semiring. The lack of an additive inverse in the semiring is compensated somewhat by the idempotent rule .

Last revised
Aug 2, 2026
Read time
≈ 1 min
Length
57 w
Citations
—
Source
Wikipedia ↗

In mathematical analysis, idempotent analysis is the study of idempotent semirings, such as the tropical semiring. The lack of an additive inverse in the semiring is compensated somewhat by the idempotent rule A ⊕ A = A {\displaystyle A\oplus A=A} .

References

References

  • Litvinov, G. L. (2005). "The Maslov dequantization, idempotent and tropical mathematics: A brief introduction". arXiv:math/0507014v1.