Biflatness of certain semigroup algebras

Document Type : Research Paper


1 Kharazmi university (Tarbiat Moallem )

2 Kharazmi University (Tarbiat Moallem)


In the present paper, we consider biflatness of certain classes of semigroup

algebras. Indeed, we give a necessary condition for a band semigroup algebra to be

biflat and show that this condition is not sufficient. Also, for a certain class of inverse

semigroups S, we show that the biflatness of ell^{1}(S)^{primeprime} is

equivalent to the biprojectivity of ell^{1}(S).


Main Subjects