The Simple Connectedness of a Tame Tilted Algebra

Abstract

Let k be an algebraically closed field. By algebra A, we mean a finite dimensional associative k-algebra, which we assume moreover to be basic Ž and connected. For such an algebra A, there exists a uniquely deter. Ž . mined connected quiver Q , and at least a surjective algebra morphism A from the path algebra kQ of Q into A, whose kernel is denoted by I ; A A see 6 . The algebra A is called triangular if Q contains no oriented A