id: 05275634 dt: a an: 05275634 au: Jipsen, Peter; Struth, Georg ti: The structure of the one-generated free domain semiring. so: Berghammer, Rudolf (ed.) et al., Relations and Kleene algebra in computer science. 10th international conference on relational methods in computer science, and 5th international conference on applications of Kleene algebra, RelMiCS/AKA 2008, Frauenwörth, Germany, April 7‒11, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-78912-3/pbk). Lecture Notes in Computer Science 4988, 234-242 (2008). py: 2008 pu: Berlin: Springer la: EN cc: ut: ci: li: doi:10.1007/978-3-540-78913-0_18 ab: Summary: This note gives an explicit construction of the one-generated free domain semiring. In particular it is proved that the elements can be represented uniquely by finite antichains in the poset of finite strictly decreasing sequences of nonnegative integers. It is also shown that this domain semiring can be represented by sets of binary relations with union, composition and relational domain as operations. rv: