Artin–Schreier extensions and Galois module structure

Aiba, 1997, Carlitz modules and Galois module structure, J. Number Theory, 62, 213, 10.1006/jnth.1997.2066 Aiba, 1998, Carlitz modules and Galois module structure, II J. Number Theory, 68, 29, 10.1006/jnth.1997.2197 Byott, 1991, Some self-dual local rings of integers not free over their associated orders, Math. Proc. Cambridge Philos. Soc., 110, 5, 10.1017/S0305004100070067 Hasse, 1934, Theory der relativ-zyklischen algebraischen Funktionenkörper, insbesondere beiendlichem Konstantenkörper, J. Reine Angew. Math., 172, 37