On Differentiability and Integrability of Rings
Journal: International Journal of Science and Research (IJSR) (Vol.9, No. 1)Publication Date: 2020-01-05
Authors : S. R. Gaikwad;
Page : 99-102
Keywords : Derivations and integrations associated to derivations;
Abstract
In this paper we study properties 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 fundamental properties are studied. This new concept generalizes basic features of the indefinite integrals.
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