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 Unit groups of quotient rings of integers in some cubic fields Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 789-803 https://doi.org/10.4134/CKMS.c160254Published online October 31, 2017 Ajchara Harnchoowong, Pitchayatak Ponrod Chulalongkorn University, Chulalongkorn University Abstract : Let $K=\Q(\al)$ be a cubic field where $\al$ is an algebraic integer such that $\disc_K(\al)$ is square-free. In this paper we will classify the structure of the unit group of the quotient ring $\O_K/A$ for each non-zero ideal $A$ of $\O_K$. Keywords : unit group, quotient ring of integers, cubic field, square-free discriminant MSC numbers : Primary 11R16 Downloads: Full-text PDF