Integrations on rings
In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. 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...
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| Language: | English |
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De Gruyter
2017-04-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0034 |
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doaj-85152558f1d3482eb15356471cc64de42021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552017-04-0115136537310.1515/math-2017-0034math-2017-0034Integrations on ringsBanič Iztok0Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, SI-2000Maribor, SloveniaIn calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. 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.https://doi.org/10.1515/math-2017-0034ringintegrationjordan integrationderivationjordan derivation16w2517c5016w1016w99 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Banič Iztok |
| spellingShingle |
Banič Iztok Integrations on rings Open Mathematics ring integration jordan integration derivation jordan derivation 16w25 17c50 16w10 16w99 |
| author_facet |
Banič Iztok |
| author_sort |
Banič Iztok |
| title |
Integrations on rings |
| title_short |
Integrations on rings |
| title_full |
Integrations on rings |
| title_fullStr |
Integrations on rings |
| title_full_unstemmed |
Integrations on rings |
| title_sort |
integrations on rings |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2017-04-01 |
| description |
In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. 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. |
| topic |
ring integration jordan integration derivation jordan derivation 16w25 17c50 16w10 16w99 |
| url |
https://doi.org/10.1515/math-2017-0034 |
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AT baniciztok integrationsonrings |
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1717777222931054592 |