A generalization of trivial extension algebras

In the paper a generalization of the known construction of trivial extension algebras is introduced. For the new constructed algebras one can indicate a construction of their Galois coverings. As an application of these constructions one can obtain a nice Galois coverings for the enveloping algebras of trivial extension algebras of triangular algebras. (c) 2005 Elsevier B.V. All fights reserved.