University of MaraghehSahand Communications in Mathematical Analysis2322-580715120190701$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras77893496910.22130/scma.2018.73939.308ENZahraHasanzadehDepartment of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.AminMahmoodiDepartment of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.Journal Article20171019In this paper, pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.http://scma.maragheh.ac.ir/article_34969_62c81b96df381db750dd155bb9dd2dbb.pdf