TY - BOOK AU - Schüler, Robert PY - 2019 DA - 2019// TI - Formal duality PB - Universität Rostock CY - Rostock AB - We provide an overview of formal duality with an emphasis on the authors contributions. Every formally dual set can be obtained from a primitive formally dual set or, more generally from an irreducible formally dual set.Using several methods, including even set theory and the field-descent method, it is possible to obtain examples of primitive/irreducible formally dual sets as well as non-existence results. A graph search algorithm can be used for further investigation. Overall, primitive formally dual sets seem rare in cyclic groups, but occasionally exist in finite abelian groups. UR - http://purl.uni-rostock.de/rosdok/id00002581 UR - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002581-2 UR - https://d-nb.info/1293658405/34 UR - https://doi.org/10.18453/rosdok_id00002581 DO - 10.18453/rosdok_id00002581 LA - English N1 - vorgelegt von Robert Schüler ID - 1685640575 ER -