论文信息 - The distribution of prime divisors in Krull monoid domains - 字舞流文

The distribution of prime divisors in Krull monoid domains

Abstract In this paper, we show that any nonzero divisor class of a Krull domain D[S] contains a height-one prime ideal of D[S], where either D is a UFD or S is a group.

Hwankoo Kim | Hwankoo Kim

[1] David F. Anderson,et al. Elasticity of factorizations in integral domains , 1992 .

[2] R. Gilmer,et al. Multiplicative ideal theory , 1968 .

[3] Abraham Zaks. Half-factorial-domains , 1980 .

[4] Leo G. Chouinard,et al. Krull semigroups and divisor class groups , 1981 .

[5] Ryuki Matsuda. Infinite Group Rings II , 1976 .

[6] David F. Anderson,et al. Divisibility Properties of Graded Domains , 1982, Canadian Journal of Mathematics.

[7] L. Carlitz,et al. A CHARACTERIZATION OF ALGEBRAIC NUMBER FIELDS WITH CLASS NUMBER TWO , 1960 .

[8] Ryuki Matsuda. On Algebraic Properties of Infinite Group Rings , 1975 .

[9] R. Fossum. The Divisor Class Group of a Krull Domain , 1973 .

[10] Robert J. Valenza,et al. Elasticity of factorization in number fields , 1990 .

[11] J. L. Mott,et al. On Krull domains , 1991 .

[12] Ryuki Matsuda. Torsion-Free Abelian Group Rings III , 1977 .

[13] Thomas H. Parker,et al. Divisibility properties in semigroup rings. , 1974 .