We study substructures of generalised power series fields induced by families of well-ordered subsets of the group of exponents. We relate set theoretic and algebraic properties of the families to algebraic structure on the induced sets. By this, we extend the work of Rayner ('An algebraically closed field', GMJ 1968) to truncation closed substructures of generalised power series fields.

This is based on a joint work with L.S. Krapp and S. Kuhlmann.

Bio: Michele Serra is an italian mathematician. He studied in Italy, France and the Netherlands before obtaining his PhD from the University of Konstanz in 2021 under the supervision of Prof. Salma Kuhlmann. He is currently a post doctoral fellow at the Univerity of Konstanz where he carries out research in valuation theory with emphasis on groups and fields of generalised power series.