@article {
author = {Hassani, Feysal},
title = {Algebras defined by homomorphisms},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {153-164},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.456},
abstract = {Let $\mathcal{R}$ be a commutative ring with identity, let $A$ and $B$ be two $\mathcal{R}$-algebras and $\varphi:B\longrightarrow A$ be an $\mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $A\times_\varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $A\times_\varphi B$ are studied. Accordingly, $A\times_\varphi B$ is considered from the perspective of Banach algebras.},
keywords = {algebra,cocycle,generalized derivation,Banach algebra},
url = {https://ijnaa.semnan.ac.ir/article_456.html},
eprint = {https://ijnaa.semnan.ac.ir/article_456_802d5ab4109a34749b6a7c2c7798aea9.pdf}
}