Integrations on rings

• Autorzy: Iztok Banič
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Ring; Integration; Jordan integration; Derivation; Jordan derivation

Kategorie tematyczne

• 16W99: None of the above, but in this section
• 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
• 17C50: Jordan structures associated with other structures
• 16W25: Derivations, actions of Lie algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 365-373

Daty

wydano

2017-01-01

otrzymano

2015-04-29

zaakceptowano

2016-01-11

online

2017-04-01

Twórcy

autor

Iztok Banič

• Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, SI-2000 Maribor,
• Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000 Ljubljana,
• Andrej Marušič Insitute, University of Primorska, Muzejski trg 2, SI-6000 Koper,

Identyfikatory

DOI

10.1515/math-2017-0034