Bombal Gordón, Fernando2023-06-212023-06-2119760034-0596https://hdl.handle.net/20.500.14352/64742The author considers locally convex algebras. He defines an Arens product for such algebras and applies it to obtain various generalizations of results known for Banach algebras. He gives a necessary and sufficient condition for the existence of an approximate identity and, for a locally convex algebra with an approximate right identity, he gives a necessary and sufficient condition for the existence of a right identity. He shows that an element x≠0 is a right topological divisor of zero if and only if it is a right divisor of zero when considered as an element of the bidual space.spajournal articlehttp://www.rac.es/4/4_7_1.php?pid=Revistas:REV_20091030_00185&pageNum=0http://www.rac.es/0/0_1.phprestricted access515.1topological algebrasnormed rings and algebrasTopología1210 Topología