We classify all idempotent comultiplications on a graded anticommutative algebra up to degree 3, provided its components are torsion free, and topologically realize all algebraic possibilities. Then we extend some results to dimension n and obtain topological consequences about closed n-manifolds with cohomology of special type.
Idempotent comultiplications on graded algebras / Cavicchioli, Alberto; Meschiari, Mauro. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 41:(1992), pp. 251-274.
Idempotent comultiplications on graded algebras
CAVICCHIOLI, Alberto;MESCHIARI, Mauro
1992
Abstract
We classify all idempotent comultiplications on a graded anticommutative algebra up to degree 3, provided its components are torsion free, and topologically realize all algebraic possibilities. Then we extend some results to dimension n and obtain topological consequences about closed n-manifolds with cohomology of special type.
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