Let $S$ be an inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group of Banach algebras and show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next, for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach space, for every odd $ninmathbb{N}$.
Nasrabadi, E. & Pourabbas, A. (2011). Module cohomology group of inverse semigroup algebras. Bulletin of the Iranian Mathematical Society, 37(No. 4), 157-169.
MLA
Nasrabadi, E., & Pourabbas, A. "Module cohomology group of inverse semigroup algebras", Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 157-169.
HARVARD
Nasrabadi E., Pourabbas A. (2011). 'Module cohomology group of inverse semigroup algebras', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 157-169.
CHICAGO
E. Nasrabadi & A. Pourabbas, "Module cohomology group of inverse semigroup algebras," Bulletin of the Iranian Mathematical Society, 37 No. 4 (2011): 157-169,
VANCOUVER
Nasrabadi E., Pourabbas A. Module cohomology group of inverse semigroup algebras. BIMS. 2011;37(No. 4):157-169.
