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Number Systems Pertaining to Euclidean Rings of Imaginary Quadratic Integers
심효섭,송현종 영남수학회 2015 East Asian mathematical journal Vol.31 No.3
For a ring R of imaginary quadratic integers, using a concept of a unitary number system in place of the Motzkin's universal side divisor, we show that the following statements are equivalent: (1) R is Euclidean. (2) R has a unitary number system. (3) R is norm-Euclidean. Through an application of the above theorem we see that R admits binary or ternary number systems if and only if R is Euclidean.
심효섭,임범진,김명진,이우정,박찬일,박영년 대한간학회 2004 Clinical and Molecular Hepatology(대한간학회지) Vol.10 No.3
Mucinous cholangiocarcinoma, characterized by large quantities of mucin production, is a rare subtype of peripheral cholangiocarcinoma and usually shows rapid progression and a fatal outcome. We report here a case of mucinous cholangiocarcinoma in a 69 year-old man, who was infected with Clonorchis sinensis. Histologically, the tumor was an adenocarcinoma with extensive intracellular and extracellular mucin production, up to 70% of the tumor mass and there was frequent lymphovascular invasion of the tumor cells. The liver adjacent to the mass contained eggs of Clonorchis sinensis in the bile duct lumen and showed ductal epithelial hyperplasia, mucinous metaplasia and adenomatous proliferation of intramural glands. The patient was treated with a right hepatectomy. Four months after the surgery, the tumor recurred in the soft tissue of the right flank.