fq-Derivations of b-algebras
Abstract
Let X = (X,∗,0) be a B-algebra and f a self-map on X. We study some properties of X for the self-map d f q is an outside and inside fq-derivation of X, respectively, as follows:
(∀x, y ∈ X)(dfq(x ∗ y) = f(x) ∗ dfq (y)),
(∀x, y ∈ X)(dfq (x ∗ y) = dfq(x) ∗ f(y)).
In addition, we define and study some properties of (right-left) and (left-right) fq-derivation of X, respectively, as follows:
(∀x, y ∈ X)(dfq(x ∗ y) = (f(x) ∗ dfq(y))∧(dfq(x) ∗ f(y))),
(∀x, y ∈ X)(dfq(x ∗ y) = (dfq(x) ∗ f(y))∧(f(x) ∗ dfq(y))).
Copyright © 2021 Patchara Muangkarn, Cholatis Suanoom, Ponchita Pengyim, Aiyared Iampan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
P. Muangkarn, C. Suanoom, P. Pengyim, A. Iampan, fq-Derivations of b-algebras, J. Math. Comput. Sci. 11 (2021), 2047–2057. https://doi.org/10.28919/jmcs/5472
BibTeX
@article{Muangkarn2021,
author = {Muangkarn, Patchara and Suanoom, Cholatis and Pengyim, Ponchita and Iampan, Aiyared},
title = {fq-Derivations of b-algebras},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2047--2057},
doi = {10.28919/jmcs/5472}
}