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Research Paper | Mathematics | India | Volume 9 Issue 1, January 2020 | Popularity: 6.1 / 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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S. R. Gaikwad, A R Gotmare, "On Differentiability and Integrability of Rings", International Journal of Science and Research (IJSR), Volume 9 Issue 1, January 2020, pp. 99-102, URL: https://www.ijsr.net/getabstract.php?paperid=ART20203895, DOI: https://www.doi.org/10.21275/ART20203895

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