Multipliers of an AT-algebra

Fatema F.  Kareem

doi:10.24996/ijs.2021.62.8.22

Multipliers of an AT-algebra

Authors

Fatema F. Kareem Department of Mathematics, Ibn-Al-Haitham college of Education, University ofBaghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.8.22

Keywords:

AT-algebra, multiplier, isotonemultiplier, regularmultiplier, Left and the Right derivations

Abstract

In this work, we present the notion of a multiplier on AT-algebra and investigate several properties. Also, some theorems and examples are discussed. The notions of the kernel and the image of multipliers are defined. After that, some propositions related to isotone and regular multipliers are proved. Finally, the Left and the Right derivations of the multiplier are obtained