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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