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Research Paper | Mathematics | India | Volume 9 Issue 1, January 2020 | Popularity: 6.3 / 10
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
Edition: Volume 9 Issue 1, January 2020
Pages: 99 - 102
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