Document Type : Original Manuscript

Author

• B. Mohammadzadeh

Department of Mathematics, Babol University of Technology, Babol, Iran.

Abstract

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have a bounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundation semigroup with identity.

Keywords

• Approximate identity
• codimension one ideal
• foundation semigroup
• semigroup algebras