$\sigma$-algebra vs. $\sigma$-field: is there any difference?
The subject says it all: is there any difference between the two concepts of $\sigma$-algebra and $\sigma$-field? In probability theory, they seem to be used more or less interchangeably. If there is no difference, is there any historical reason why some people/schools use the term $\sigma$-algebra, while others use the term $\sigma-$field?
If you want to be completely sure you can see Taylor´s Introduction to Measure and Integration where he state that both concepts refer to the same thing.