stability and superstability of generalized (๐œƒ, ๐œ™)-derivations in non-archimedean algebras: fixed point theorem via the additive cauchy functional equation

Clicks: 56
ID: 199459
2011
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score โ€” reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Popular

Ranked #275 of 357 articles by views in Chemico-biological interactions

Most read Least read

Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 357 in total.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
Let ๐ด be an algebra, and let ๐œƒ, ๐œ™ be ring automorphisms of ๐ด. An additive mapping ๐ปโˆถ๐ดโ†’๐ด is called a (๐œƒ,๐œ™)-derivation if ๐ป(๐‘ฅ๐‘ฆ)=๐ป(๐‘ฅ)๐œƒ(๐‘ฆ)+๐œ™(๐‘ฅ)๐ป(๐‘ฆ) for all ๐‘ฅ,๐‘ฆโˆˆ๐ด. Moreover, an additive mapping ๐นโˆถ๐ดโ†’๐ด is said to be a generalized (๐œƒ,๐œ™)-derivation if there exists a (๐œƒ,๐œ™)-derivation ๐ปโˆถ๐ดโ†’๐ด such that ๐น(๐‘ฅ๐‘ฆ)=๐น(๐‘ฅ)๐œƒ(๐‘ฆ)+๐œ™(๐‘ฅ)๐ป(๐‘ฆ) for all ๐‘ฅ,๐‘ฆโˆˆ๐ด. In this paper, we investigate the superstability of generalized (๐œƒ,๐œ™)-derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchyโ€™s functional equation.
Reference Key
gordji2011journalstability Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. Eshaghi Gordji;M. B. Ghaemi;G. H. Kim;Badrkhan Alizadeh
Journal Chemico-biological interactions
Year 2011
DOI
10.1155/2011/726020
URL
http://dx.doi.org/10.1155/2011/726020
Keywords
mathematics

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.