On Differentiability and Integrability of Rings

S. R. Gaikwad, A R Gotmare

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.

Keywords: Derivations and integrations associated to derivations

How to Cite?: S. R. Gaikwad, A R Gotmare, "On Differentiability and Integrability of Rings", Volume 9 Issue 1, January 2020, International Journal of Science and Research (IJSR), Pages: 99-102, https://www.ijsr.net/getabstract.php?paperid=ART20203895, DOI: https://dx.doi.org/10.21275/ART20203895