Characterizations of *-Cancellation Ideals of an Integral Domain

REFERENCES

• Anderson , D. D. ( 1982 ). Globalization of some local properties in Krull domains . Proc. Amer. Math. Soc. 85 : 141 – 145 .
   Web of Science ®Google Scholar
• Anderson , D. D. ( 1988 ). Star-operations induced by overrings . Comm. Algebra 16 : 2535 – 2553 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Anderson , D. F. ( 1984 ). Some remarks on cancellation ideals . Math. Japonica 29 : 879 – 886 .
   Google Scholar
• Anderson , D. D. , Cook , S. J. ( 2000 ). Two star-operations and their induced lattices . Comm. Algebra 28 : 2461 – 2475 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Mott , J. L. , Zafrullah , M. ( 1992 ). Finite character representations for integral domains . Bollettino U.M.I. 6-B ( 7 ): 613 – 630 .
   Google Scholar
• Anderson , D. D. , Roitman , M. ( 1997 ). A characterization of cancellation ideals . Proc. Amer. Math. Soc. 125 : 2853 – 2854 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Zafrullah , M. ( 1993 ). On t-invertibility . III, Comm. Algebra 21 : 1189 – 1201 .
   Web of Science ®Google Scholar
• Chang , G. W. ( 2005 ). Strong Mori domains and the ring D[X] N v . J. Pure Appl. Algebra 197 : 295 – 304 .
   Google Scholar
• Chang , G. W. ( 2006 ). *-Noetherian domains and the ring D[X] N * . J. Algebra 297 : 216 – 233 .
   Web of Science ®Google Scholar
• Chang , G. W. ( 2008 ). Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings . J. Algebra 310 : 309 – 319 .
   Google Scholar
• Eakin , P. , Heinzer , W. ( 1970 ). Non-finiteness in finite dimensional Krull domains . J. Algebra 14 : 333 – 340 .
   Google Scholar
• El Bagdahi , S. , Fontana , M. , Picozza , G. ( 2004 ). Semistar Dedekind domains . J. Pure Appl. Algebra 193 : 27 – 60 .
   Google Scholar
• Fontana , M. , Jara , P. , Santos , E. ( 2003 ). Prüfer ☆-multiplication domains and semistar operations . J. Algebra Appl. 2 : 21 – 50 .
   Web of Science ®Google Scholar
• Gabelli , S. , Roitman , M. ( 1990 ). On Nagata's theorem for the class group . J. Pure Appl. Algebra 66 : 31 – 42 .
   Google Scholar
• Gilmer , R. ( 1972 ). Multiplicative Ideal Theory . New York : Marcel Dekker .
   Google Scholar
• Gilmer , R. , Heinzer , W. ( 1970 ). On the number of generators of an invertible ideal . J. Algebra 14 : 139 – 151 .
   Web of Science ®Google Scholar
• Houston , E. , Zafrullah , M. ( 1989 ). On t-invertibility . II, Comm. Algebra 17 : 1955 – 1969 .
   Web of Science ®Google Scholar
• Kang , B. G. ( 1989 ). Prüfer v-multiplication domains and the ring R[X] N v . J. Algebra 123 : 151 – 170 .
   Web of Science ®Google Scholar
• Zafrullah , M. ( 2000 ). Putting t-invertibility to use . Non-Noetherian Commutative Ring Theory, Math. Appl., Kluwer Acad. Publ. Dordrecht 520 : 429 – 457 .
   Google Scholar
• Communicated by R. Wiegand.
   Google Scholar