# Integrations on rings

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 365-373
- ISSN: 2391-5455

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topIztok Banič. "Integrations on rings." Open Mathematics 15.1 (2017): 365-373. <http://eudml.org/doc/287976>.

@article{IztokBanič2017,

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.},

author = {Iztok Banič},

journal = {Open Mathematics},

keywords = {Ring; Integration; Jordan integration; Derivation; Jordan derivation},

language = {eng},

number = {1},

pages = {365-373},

title = {Integrations on rings},

url = {http://eudml.org/doc/287976},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Iztok Banič

TI - Integrations on rings

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 365

EP - 373

AB - 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.

LA - eng

KW - Ring; Integration; Jordan integration; Derivation; Jordan derivation

UR - http://eudml.org/doc/287976

ER -

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