Commonly used algebraic structures over probability, as seen in, for example,

Commonly used algebraic structures over probability, as seen in, for example,

the convolution semigroup, used in divisible processes (what do you call the semigroup of maximum processes?)

in the general transition semigroup of Markov processes.

## Refs

- Ress11: (2011) A revision of Kimberling’s results — With an application to max-infinite divisibility of some Archimedean copulas.
*Statistics & Probability Letters*, 81(2), 207–211. DOI - RuSz88: (1988)
*Algebraic probability theory*. John Wiley & Sons Inc - Appl09: (2009)
*Lévy processes and stochastic calculus*. Cambridge ; New York: Cambridge University Press - Ress91: (1991) Semigroups in Probability Theory. In Probability Measures on Groups X (pp. 337–363). Springer US DOI