I would like to know if there are Boolean Algebras endowed with operators such that those operators interact in some way. That is, if they are subject to certain axioms rather than just producing new elements of the underlying set of the Algebra.
A reference or example for this matter would be enough.
Thank you.
Hi Joaquin, I am not an specialist in the field I will refer to (but I am a friend of some of them), however at least I may say that there are lots of research involving Boolean algebras of projections and operators in Banach spaces. Looking for some introduction or classical text on the subject, I have found this one (but I do not know if this is the best reference for this). Bye !
http://www.ams.org/journals/tran/1955-080-02/S0002-9947-1955-0073954-0/S0002-9947-1955-0073954-0.pdf
(I also do not know if what I just have said is an answer for your question, by the way)
Thank you Samuel, it has to do with my intentions (related to Modal Logic) but not so closely.
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