Global Inflation Data Modeled by Commutative and Non-Commutative Algebra

According the global data, global inflation data has exhibited ups and downs along a period of 20 years. One can wonder if the whole dataset can be merely represented by mathematical operations. In this paper, such operations are based in operators that can be satisfying well-defined algebra dictated by commutative as well as non-commutative operations. When operators acts onto continue functions, various relationships can be derived, From these mathematical operations, interpretation of global inflation can be extracted. It is done within the statistical errors and bias associated to operations of commutation that can be also seen as coarse algebra without any correlation to pandemics. Proposed theory and real data are directly confronted and discussed.