University of Guilan Journal of Algebra and Related Topics 2345-3931 Articles in Press 2026 04 08 Affine-type pairs on hypergroups and their ergodicity 9535 10.22124/jart.2026.31916.1861 EN S. M. Tabatabaie Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran A. Bagheri Salec Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran R. Fahame Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran Journal Article 2025 10 08 In this paper, we introduce affine-type pairs on locally compact hypergroups and study their ergodicity and weakly ergodicity. Among other results, we give some applicable sufficient conditions for that an affine-type pair to be strongly totally dissipative. Inspiring the main results and concepts of this paper, the ergodicity on hypergroups can be studied extensively. convolution algebras ergodic functions weakly ergodicity affine-type pairs strongly totally dissipative functions https://jart.guilan.ac.ir/article_9535_4d6f3e57a7ce2b3f1c654939cd998cc6.pdf