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Voskoglou, M. Gr., “Differential simplicity and dimension of a commutative ring”, Rivista Mathematica University of Parma, 6(4), 111-119, 2001.

has been cited by the following article:

Article

Derivations and Integrations on Rings

1Department of Mathematical Sciences, Graduate T. E. I. of Western Greece, Patras, Greece


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 2, 75-78
DOI: 10.12691/ajams-7-2-4
Copyright © 2019 Science and Education Publishing

Cite this paper:
Michael Gr. Voskoglou. Derivations and Integrations on Rings. American Journal of Applied Mathematics and Statistics. 2019; 7(2):75-78. doi: 10.12691/ajams-7-2-4.

Correspondence to: Michael  Gr. Voskoglou, Department of Mathematical Sciences, Graduate T. E. I. of Western Greece, Patras, Greece. Email: mvosk@hol.gr

Abstract

In this paper properties are studied 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 funamental properties of it are studied. This new concept generalizes basic features of the indefinite integrals.

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