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Title:
Integrations on rings
Authors:
ID
Banič, Iztok
(
Author
)
Files:
Open_Mathematics_2017_Banic_Integrations_on_rings.pdf
(234,00 KB)
MD5: EC4E5195617DC183BF00EAE20557A96C
http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0034/math-2017-0034.xml
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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:
ring
,
integration
,
Jordan integration
,
derivation
,
Jordan derivation
Publication status:
Published
Publication version:
Version of Record
Year of publishing:
2017
Number of pages:
str. 365-373
Numbering:
Letn. 15, št. 1
PID:
20.500.12556/DKUM-65610
ISSN:
Y508-704X
UDC:
512.552
ISSN on article:
Y508-704X
COBISS.SI-ID:
23042568
DOI:
10.1515/math-2017-0034
NUK URN:
URN:SI:UM:DK:ZDETC51A
Publication date in DKUM:
10.05.2017
Views:
1322
Downloads:
226
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Open Mathematics
Shortened title:
Open Math.
Publisher:
De Gruyter Open
ISSN:
2391-5455
COBISS.SI-ID:
17824345
Document is financed by a project
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0285
Name:
Algebra, diskretna matematika, verjetnostni račun in teorija iger
Licences
License:
CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:
The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:
10.05.2017
Secondary language
Language:
Slovenian
Keywords:
kolobar
,
integriranje
,
jordansko integriranje
,
odvajanje
,
jordansko odvajanje
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