Type:

Closed ideals and quotient algebras, satisfying the Bochner-Eberlein-Doss property

Journal: Communications in Algebra (00927872)Year: 2025Volume: Issue:

Abtahi F.^a Doustmohammadi F. Ghasemi B.

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1080/00927872.2025.2547707Language: English

Abstract

Let (Formula presented.) be a (Formula presented.) algebra and (Formula presented.) be a closed ideal of (Formula presented.). Here, we verify the (Formula presented.) property for (Formula presented.) and (Formula presented.). We prove all essential kernel ideals of (Formula presented.) with closed character space, are (Formula presented.) algebras. Afterwards, we establish if (Formula presented.) is discrete and (Formula presented.) then (Formula presented.), especially (Formula presented.) is a (Formula presented.) algebra. We obtain if G is an abelian compact group, then any closed ideal of (Formula presented.) is a (Formula presented.) algebra. Moreover, if (Formula presented.) and (Formula presented.) then (Formula presented.) and (Formula presented.) are (Formula presented.). © 2025 Taylor & Francis Group, LLC.