eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2019-02-09
7
2
75
78
10.12691/ajams-7-2-4
AJAMS2019724
article
Derivations and Integrations on Rings
Michael Gr. Voskoglou
mvosk@hol.gr
1
Department of Mathematical Sciences, Graduate T. E. I. of Western Greece, Patras, Greece
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.
http://pubs.sciepub.com/ajams/7/2/4/ajams-7-2-4.pdf
derivations
integrations associated to derivations
differential ideals
iterated skew polynomial rings (ISPRs)