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Research Paper | Mathematics | Volume 9 Issue 1, January 2020 | Pages: 99 - 102 | India
On Differentiability and Integrability of Rings
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