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math.KT2002
The first cohomology group of the trivial extension of a monomial algebra
Claude Cibils, Maria Julia Redondo, Manuel Saorin
Given a finite--dimensional monomial algebra we consider the trivial extension and provide formulae, depending on the characteristic of the field, for the dimensions of th…
math.KT2001
Cohomology of split algebras and of trivial extensions
Claude Cibils, Eduardo Marcos, Maria Julia Redondo +1
We consider associative algebras L over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or…