A note on relative homological epimorphisms of topological algebras

TL;DR

This paper explores the concept of relative homological epimorphisms within locally convex topological algebras, providing new characterizations and correcting previous inaccuracies in the literature.

Contribution

It introduces several new characterizations of relative homological epimorphisms in topological algebras and addresses gaps in earlier work.

Findings

New characterizations of relative homological epimorphisms

Correction of previous inaccuracies in the literature

Enhanced understanding of topological algebra structures

Abstract

We give several characterizations of relative homological epimorphisms in the setting of locally convex topological algebras, thereby correcting a gap in our earlier paper [Trans. Moscow Math. Soc. 2008, 27-104].