ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

On Differentiability and Integrability of Rings

Journal: International Journal of Science and Research (IJSR) (Vol.9, No. 1)

Publication Date:

Authors : ;

Page : 99-102

Keywords : Derivations and integrations associated to derivations;

Source : Downloadexternal Find it from : Google Scholarexternal

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.

Last modified: 2021-06-26 19:09:15