Integrations on rings
Abstract
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.
Keywords
ne zaključna dela;ring;integration;Jordan integration;derivation;Jordan derivation;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2017 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UM FNM - Faculty of Natural Sciences and Mathematics |
| UDC: | 512.552 |
| COBISS: |
23042568
|
| ISSN: | Y508-704X |
| Views: | 1011 |
| Downloads: | 181 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | Slovenian |
|---|---|
| Secondary keywords: | Matematika;Integrali; |
| URN: | URN:SI:UM: |
| Type (COBISS): | Article |
| Pages: | str. 365-373 |
| Volume: | ǂVol. ǂ15 |
| Issue: | ǂiss. ǂ1 |
| Chronology: | 2017 |
| DOI: | 10.1515/math-2017-0034 |
| ID: | 9609012 |
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