Derivations and Integrations on Rings

Michael Gr. Voskoglou^1,

¹Department of Mathematical Sciences, Graduate T. E. I. of Western Greece, Patras, Greece

Cite this paper:
Michael Gr. Voskoglou. Derivations and Integrations on Rings. American Journal of Applied Mathematics and Statistics. 2019; 7(2):75-78. doi: 10.12691/ajams-7-2-4

Abstract

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.

Keywords:
derivations integrations associated to derivations differential ideals iterated skew polynomial rings (ISPRs)

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