Type: Article

Module extension of dual Banach algebras

Journal: Bulletin of the Korean Mathematical Society (10158634)Year: 2010Volume: Issue: 4Pages: 663 - 673

Gordji M.E.Habibian F. Rejali A.Moradzadehdehkordi A.^aShojaee S.H.

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

All Open Access; Bronze Open AccessDOI:10.4134/BKMS.2010.47.4.663Language: English

Abstract

This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the weak*-continuous derivations on the module extension of dual Banach algebras and also the weak Connesamenability of such Banach algebras. © 2010 The Korean Mathematical Society.

Author Keywords

Connes-amenableDerivationUniserial moduleweakly serial moduleweakly uniserial moduleKöthe ringRD-flat moduleRD-injective moduleSimple moduleV-ringabsolutely pure moduleinjective moduleQuasi-Frobenius ringsemisimple ringSingly injective module