%0 Journal Article %T Derivations and Integrations on Rings %A Michael Gr. Voskoglou %J American Journal of Applied Mathematics and Statistics %D 2019 %R 10.12691/ajams-7-2-4 %X In this paper properties are studied of the differential ideals of a ring R and of the iterated skew polynomial rings over R defined with respect to a finite set of commuting derivations of R. The concept of the integration of R associated to a given derivation of R is also introduced and some funamental properties of it are studied. This new concept generalizes basic features of the indefinite integrals %U http://www.sciepub.com/AJAMS/abstract/10183