Quasi-Schreier Domains II

REFERENCES

• Anderson , D. D. ( 1977 ). Some remarks on the ring R(X) . Comment. Math. Univ. St. Pauli 26 : 137 – 140 .
   Google Scholar
• Anderson , D. D. ( 1988 ). Star-operations induced by overrings . Comm. Algebra 16 : 2535 – 2553 .
   Web of Science ®Google Scholar
• Anderson , D. D. ( 2000 ). GCD domains, Gaus' lemma, and contents of polynomials . Non-Noetherian Commutative Ring Theory . Math. Appl. 520 . Dordrecht : Kluwer Acad. Publ. , pp. 1 – 31 .
   Google Scholar
• Anderson , D. D. , Anderson , D. F. ( 1979 ). Generalized GCD domains . Comment. Math. Univ. St. Pauli 28 : 215 – 221 .
   Google Scholar
• Anderson , D. F. , Dobbs , D. E. ( 1980 ). Pairs of rings with the same prime ideals . Canad. J. Math. 32 : 362 – 384 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Zafrullah , M. ( 1993 ). t-Invertibility III . Comm. Algebra 21 : 1189 – 1201 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Zafrullah , M. ( 1999 ). Independent locally-finite intersections of localizations . Houston J. Math. 25 : 433 – 452 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Zafrullah , M. The Schreier property and Gaus' Lemma . Boll. Unione Mat. Ital. ( 8 ) 10-B : 43 – 62 .
   Google Scholar
• Anderson , D. D. , Kwak , D. J. , Zafrullah , M. ( 1995 ). Agreeable domains . Comm. Algebra 23 : 4861 – 4883 .
   Web of Science ®Google Scholar
• Anderson , D. D. , Anderson , D. F. , Zafrullah , M. ( 2001 ). The ring D + XD S [X] and t-splitting sets . Arab. J. Sci. Eng. Sect. C Theme Issues 26 : 3 – 16 .
   Web of Science ®Google Scholar
• Bouvier , A. (1982). Le groupes de classes d'un anneau intègre. 107 ^e Congrès National des Sociétes savantes. Brest, Fasc. IV, 85–92.
   Google Scholar
• Bouvier , A. , Zafrullah , M. ( 1988 ). On some class groups of an integral domain . Bull. Soc. Math. Greèce (NS) 29 : 45 – 59 .
   Google Scholar
• Cohn , P. M. ( 1968 ). Bézout rings and their subrings . Math. Proc. Cambridge Philos. Soc. 64 : 251 – 264 .
   Web of Science ®Google Scholar
• Dumitrescu , T. , Moldovan , R. ( 2003a ). Ascending nets of Prüfer v-multiplication domains . Comm. Algebra 31 : 1633 – 1642 .
   Web of Science ®Google Scholar
• Dumitrescu , T. , Moldovan , R. ( 2003b ). Quasi-Schreier domains . Math. Reports 5 : 121 – 126 .
   Google Scholar
• Fontana , M. , Gabelli , S. , Houston , E. ( 1998 ). UMT-domains and domains with Prüfer integral closure . Comm. Algebra 26 : 1017 – 1039 .
   Web of Science ®Google Scholar
• Fossum , R. ( 1973 ). The Divisor Class Group of a Krull Domain. Ergebnisse der Mathematik und ihre Grenzgebiete, Band 74 . New York-Heidelberg : Springer Verlag .
   Google Scholar
• Gilmer , R. ( 1972 ). Multiplicative Ideal Theory. Pure Appl. Math. Vol. 12 . New York : Marcel Dekker Inc.
   Google Scholar
• Gilmer , R. , Heitmann , R. C. ( 1980 ). On Pic(R[X]) for R seminormal . J. Pure Appl. Algebra 16 : 251 – 257 .
   Web of Science ®Google Scholar
• Gilmer , R. , Nashier , B. , Nichols , W. ( 1987 ). Generators of ideals containing monics . Arch. Math. 49 : 407 – 413 .
   Web of Science ®Google Scholar
• Griffin , M. ( 1968 ). Rings of Krull type . J. Reine Angew. Math. 229 : 1 – 27 .
   Web of Science ®Google Scholar
• Hedstrom , J. , Houston , E. ( 1980 ). Some remarks on star-operations . J. Pure Appl. Algebra 18 : 37 – 44 .
   Web of Science ®Google Scholar
• Houston , E. , Zafrullah , M. ( 1989 ). On t-invertibility II . Comm. Algebra 17 : 1955 – 1969 .
   Web of Science ®Google Scholar
• Matlis , E. ( 1972 ). Torsion-Free Modules . Chicago-London: The University of Chicago Press.
   Google Scholar
• McAdam , S. , Rush , D. E. ( 1978 ). Schreier rings . Bull. London Math. Soc. 10 : 77 – 80 .
   Google Scholar
• Mott , J. , Zafrullah , M. ( 1981 ). On Prüfer v-multiplication domains . Manuscripta Math. 35 : 1 – 26 .
   Web of Science ®Google Scholar
• Mott , J. L. , Nashier , B. , Zafruallah , M. ( 1990 ). Contents of polynomials and invertibility . Comm. Algebra 18 : 1569 – 1583 .
   Web of Science ®Google Scholar
• Querre , J. ( 1980 ). Ideaux divisoriels d'un anneaux de polynomes . J. Algebra 64 : 270 – 284 .
   Web of Science ®Google Scholar
• Ribemboim , P. ( 1956 ). Anneaux normaux réels à caractére fini . Summa Brasil. Math. 3 : 213 – 253 .
   Google Scholar
• Zafrullah , M. ( 1977 ). On a result of Gilmer . J. London Math. Soc. 16 : 19 – 20 .
   Web of Science ®Google Scholar
• Zafrullah , M. ( 1987 ). On a property of pre-Schreier domains . Comm. Algebra 15 : 1895 – 1920 .
   Web of Science ®Google Scholar
• Communicated by A. Facchini.
   Google Scholar