To a commutative ring K, and a family of K-algebras indexed by the vertex set of a graph, we associate a K-algebra obtained by a mixture of coproduct and tensor product constructions. For this, and ...

This is a preview. Log in through your library . Abstract A cylinder-web diagram with associated diagonal sequences is described in stable homotopy pair theory. The diagram may be used to compute ...

Scientists at the Wellcome Sanger Institute say they developed a technique to predict the exact mutations CRISPR-Cas9 gene editing can introduce to a cell. The team edited 40,000 different pieces of ...

Our growing awareness of the microbial world’s importance and diversity contrasts starkly with our limited understanding of its fundamental structure. Despite recent advances in DNA sequencing, a lack ...