81
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Almost Quasi-Schreier Domains

&
Pages 1685-1696 | Received 23 Mar 2011, Published online: 09 May 2013

REFERENCES

  • Anderson , D. D. ( 1977 ). Some remarks on the ring R(X) . Comment. Math. Univ. St. Pauli 26 : 137 – 140 .
  • Anderson , D. D. ( 1982 ). Globalization of some local properties in Krull domains . Proc. Amer. Math. Soc. 85 : 141 – 145 .
  • Anderson , D. D. , Anderson , D. F. (1979). Generalized GCD domains. Comment. Math. St. Univ. Pauli 28:215–221.
  • Anderson , D. D. , Dumitrescu , T. , Zafrullah , M. ( 2007 ). Quasi-Schreier domains II . Comm. Algebra 35 : 2096 – 2104 .
  • Anderson , D. D. , Kwak , D. J. , Zafrullah , M. ( 1995 ). Agreeable domains . Comm. Algebra 23 : 4861 – 4883 .
  • Anderson , D. D. , Zafrullah , M. ( 1991 ). Almost Bezout domains . J. Algebra 142 : 285 – 309 .
  • Anderson , D. D. , Zafrullah , M. ( 1999 ). Independent locally-finite intersections of localizations . Houston J. Math. 25 : 433 – 452 .
  • Anderson , D. F. ( 2000 ). The class group and local class group of an integral domain. Non-Noetherian Commutative Ring Theory Math. Appl. Dordrecht: Kluwer Acad. Publ. 520:33–55 .
  • Anderson , D. D. , Zafrullah , M. ( 1999 ). Independent locally-finite intersections of localizations . Houston J. Math. 25 : 433 – 452 .
  • Anderson , D. F. , Chang , G. W. ( 2003 ). The class group of D[X 2, X 3] . Internat. J. Commutative Rings 2 : 1 – 7 .
  • Anderson , D. F. , Ryckaert , A. ( 1988 ). The class group of D + M . J. Pure Appl. Algebra 52 : 199 – 212 .
  • Bouvier , A. , Zafrullah , M. ( 1988 ). On some class groups of an integral domain . Bull. Soc. Math. Greece (NS) 29 : 45 – 59 .
  • Cohn , P. M. ( 1968 ). Bezout rings and their subrings . Math. Proc. Cambridge Philos. Soc. 64 : 251 – 264 .
  • Dumitrescu , T. , Khalid , W. ( 2010 ). Almost-Schreier domains . Comm. Algebra 38 : 2981 – 2991 .
  • Dumitrescu , T. , Khalid , W. ( 2012 ). Almost-Schreier monoids . Algebra Universalis 67 : 19 – 28 .
  • Dumitrescu , T. , Moldovan , R. ( 2003 ). Quasi-Schreier domains. Math. Reports 5: 121–126 .
  • Fossum , R. ( 1973 ). The Divisor Class Group of a Krull Domain . New York–Heidelberg : Springer Verlag .
  • Gilmer , R. ( 1972 ). Multiplicative Ideal Theory . New York : Marcel Dekker .
  • Gilmer , R. , Heitmann , R. ( 1980 ). On Pic(R[X]) for R seminormal . J. Pure Appl. Algebra 16 : 251 – 257 .
  • Hassler , W. ( 2004 ). Arithmetic of Weakly Krull Domains . Comm. Algebra 32 : 955 – 968 .
  • Lewin , R. ( 1997 ). Almost generalized GCD-domains. Lecture Notes in Pure and Applied Mathematics. Vol. 189. New York: Marcel Dekker, pp. 371–382 .
  • Li , Q. ( 2010 ). Almost Prufer *-multiplication domains . Internat. J. Algebra 4 : 517 – 523 .
  • McAdam , S. , Rush , D. E. ( 1978 ). Schreier rings . Bull. London Math. Soc. 10 : 77 – 80 .
  • Zafrullah , M. ( 1985 ). A general theory of almost factoriality. Manuscripta Math. 51: 29–62 .
  • Zafrullah , M. ( 1987 ). On a property of pre-Schreier domains . Comm. Algebra 15 : 1895 – 1920 .
  • Zafrullah , M. ( 2000 ). Putting t-invertibility to use. Non-Noetherian Commutative Ring Theory. Math. Appl. Vol. 520. Dordrecht: Kluwer Acad. Publ. pp. 429–457 .
  • Communicated by I. Swanson.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.