Canadian Mathematical Bulletin · 2007 · 13 citations · 5 references
Natural SciencesMathematicsAlgebraGeometryTopologyAbstract AlgebraArithmetic GeometryCohomology TheoryCommutative AlgebraGroup TheoryHomological AlgebraCohomology GroupsConvolutionHigher Homotopy GroupsRees AlgebrasSemigroup TheorySimplicial Cohomology
Abstract In this paper, we investigate the higher simplicial cohomology groups of the convolution algebra ℓ 1 ( S ) for various semigroups S . The classes of semigroups considered are semilattices, Clifford semigroups, regular Rees semigroups and the additive semigroups of integers greater than a for some integer a . Our results are of two types: in some cases, we show that some cohomology groups are 0, while in some other cases, we show that some cohomology groups are Banach spaces.
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Barry Johnson · Memoirs of the American Mathematical Society · 1972 · 823 citations
First Order Cohomology of Banach Semigroup Algebras
S. Bowling, John F. R. Duncan · Semigroup Forum · 1998 · 38 citations