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P.N. Ánh, Mathematics Institute, Hungarian Academy of Sciences Wednesday, February 22, 2013, 4:00 - 5:XX (00 ≤ XX ≤ 30). At The Colorado College Title: Generalization of Clifford’s theorem Abstract: If R is an arithmetical ring with one minimal prime ideal P such that the localization RP is not a field, then the multiplicative monoid S(R) of finitely generated ideals of R partially ordered by reverse inclusion, is a factor of the positive cone of a lattice-ordered abelian group by an appropriate filter. A ring is arithmetical if its ideals form a distributive lattice. 1