Article ID Journal Published Year Pages File Type
4586947 Journal of Algebra 2010 38 Pages PDF
Abstract

In this paper, we study the covering theory of laura algebras. We prove that if a connected laura algebra is standard (that is, has a standard connecting component), then it has Galois coverings associated to the coverings of the connecting component. As a consequence, the first Hochschild cohomology group of a standard laura algebra vanishes if and only if it has no proper Galois coverings.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory