%0 Journal Article %T On the supports of recognizable series over a field and a single letter alphabet %+ Laboratoire d'informatique Algorithmique : Fondements et Applications (LIAFA) %A Chapuy, Guillaume %A Klimann, Ines %< avec comité de lecture %@ 0020-0190 %J Information Processing Letters %I Elsevier %V 111 %N 23-24 %P 1096-1098 %8 2011-12-15 %D 2011 %R 10.1016/j.ipl.2011.09.010 %K Formal languages %K Recognizable series %K Support of series %Z ACM F.4.3 %Z Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]Journal articles %X We prove that the support of a recognizable series over a field of characteristic zero and a single letter alphabet is recognizable. This provides an answer to a question of Kirsten (2009). Then we give an example of a recognizable series over a field of prime characteristic and a single letter alphabet whose support is not recognizable which provides an answer to a question of Kirsten and Quaas (2011). %G English %2 https://u-paris.hal.science/hal-00663147/document %2 https://u-paris.hal.science/hal-00663147/file/HAL_IPL4618.pdf %L hal-00663147 %U https://u-paris.hal.science/hal-00663147 %~ UNIV-PARIS7 %~ CNRS %~ LIAFA %~ UNIV-PARIS