Integrations on rings

In calculus, an indefinite integral of a function is a differentiable function whose derivative is equal to . The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring. We also investigate basic properties of such generalized integ...

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Poland), 2017-04, Vol.15 (1), p.365-373
Main Author: Banič, Iztok
Format: Article
Language:English
Subjects:
16W10
16W25
16W99
17C50
Calculus
Derivation
Derivatives
Integrals
Integration
Jordan derivation
Jordan integration
Ring
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Summary:In calculus, an indefinite integral of a function is a differentiable function whose derivative is equal to . The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring. We also investigate basic properties of such generalized integrals and compare them to the well-known properties of indefinite integrals of real functions.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0034