%0 Journal Article %T $\sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Hasanzadeh, Zahra %A Mahmoodi, Amin %D 2019 %\ 07/01/2019 %V 15 %N 1 %P 77-89 %! $\sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras %K $sigma$-Connes amenability %K Pseudo-amenability %K Pseudo-Connes amenability %K Beurling algebras %R 10.22130/scma.2018.73939.308 %X In 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. %U https://scma.maragheh.ac.ir/article_34969_62c81b96df381db750dd155bb9dd2dbb.pdf