On unique factorization in certain rings of algebraic functions

TL;DR: Leitzel, Madan and Queen as mentioned in this paper showed that this 8th example could have been found by their method and is the only one, so that the list is now complete.

TL;DR: In this article, the authors consider invariants j des E q [T]-modules de Drinfeld de rang 2 singuliers and supersinguliers, and constrain des invariants universels supersingULiers.

TL;DR: In this article, several equivalent conditions for the ideal class number h(OK) to be one are presented and all such quadratic function fields with h (OK) = 1 are determined.

TL;DR: In this paper, Casselsf introduced the concept of the regulator, rx, of the group of ideal classes in the ring, /, of S-integers of K, where S denotes the set of places of K which lie above the place pi/x of the transcendental field k(x).

TL;DR: This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University, and has served as an ultimate source for many generations of mathematicians.