Title of article :
Algebras dened by homomorphisms
Author/Authors :
Hassani, Feysal Department of Mathematics - Payame Noor University, Tehran
Abstract :
Let R be a commutative ring with identity, let A and B be two R-algebras and ' : B → A be
an R-additive algebra homomorphism. We introduce a new algebra A x B, and give some basic
properties of this algebra. Generalized 2-cocycle derivations on A x B are studied. Accordingly,
A x B is considered from the perspective of Banach algebras.
Keywords :
algebra , cocycle , generalized derivation , Banach algebra
Journal title :
Astroparticle Physics
