95
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Star Almost Schreier Domains

&
Pages 4898-4910 | Received 28 Oct 2012, Published online: 23 May 2014

REFERENCES

  • Ahmad , Z. , Dumitrescu , T. ( 2012 ). Almost quasi-Schreier domains. To appear in Comm. Algebra.
  • Ahmad , Z. , Dumitrescu , T. , Epure , M. ( 2012 ). A Schreier domain type condition . Bull. Math. Soc. Sci. Math. Roumanie 55 : 241 – 247 .
  • Ahmad , Z. , Dumitrescu , T. , Epure , M. ( 2014 ). A Schreier domain type condition II. To appear in Algebra Colloq .
  • Anderson , D. D. (1982). Globalization of some local properties in Krull domains. Proc. Amer. Math. Soc. 85:141–145.
  • Anderson , D. D. ( 1998 ). Star-operations induced by overrings . Comm. Algebra 16 : 2535 – 2553 .
  • Anderson , D. D. , Anderson , D. F. , Fontana , M. , Zafrullah , M. ( 2009 ). On v-domains and star operations . Comm. Algebra 37 : 3018 – 3043 .
  • Anderson , D. D. , Cook , S. ( 2000 ). Two star operations and their induced latices . Comm. Algebra 28 : 2461 – 2475 .
  • 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. , Mott , J. L. , Zafrullah , M. ( 1992 ). Finite character representations for integral domains. Bollettino U.M.I. 6-B(7):613–630 .
  • 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. In: Scott T. Chapman and Sarah Glaz, eds. Non-Noetherian Commutative Ring Theory, Math. Appl. Vol. 520. Dordrecht: Kluwer Academic Publishers, pp. 33–55 .
  • Anderson , D. F. ( 1988 ). A general theory of class groups . Comm. Algebra 16 : 805 – 847 .
  • Bouvier , A. , Zafrullah , M. ( 1988 ). On some class groups of an integral domain . Bull. Soc. Math. Greece (NS) 29 : 45 – 59 .
  • Chang , G. W. , Fontana , M. ( 2007 ). Uppers to zero and semistar operations in polynomial rings . J. Algebra 318 : 484 – 493 .
  • 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 .
  • Dumitrescu , T. , Zafrullah , M. ( 2011 ). t-Schreier domains . Comm. Algebra 39 : 808 – 818 .
  • El Baghdadi , S. , Gabelli , S. , Zafrullah , M. ( 2008 ). Unique representation domains II . J. Pure Appl. Algebra 212 : 376 – 393 .
  • Fontana , M. , Loper , A. ( 2003 ). Nagata rings, Kronecker function rings and related semistar operations . Comm. Algebra 31 : 4775 – 4805 .
  • Fossum , R. ( 1973 ). The Divisor Class Group of a Krull Domain . New York : Springer .
  • Gabelli , S. , Houston , E. ( 1997 ). Coherentlike conditions in pullbacks . Michigan Math. J. 44 : 99 – 123 .
  • Gilmer , R. ( 1972 ). Multiplicative Ideal Theory . New York : Marcel Dekker .
  • Halter-Koch , F. ( 1998 ). Ideal Systems. An Introduction to Multiplicative Ideal Theory . New York : Marcel Dekker .
  • Houston , E. , Malik , S. , Mott , J. ( 1984 ). Characterizations of *-multiplication domains . Canad. Math. Bull. 27 : 48 – 52 .
  • Kang , B. G. ( 1989 ). Prüfer v-multiplication domains and the ring R[X] N v . J. Algebra 123 : 151 – 170 .
  • 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 .
  • Moldovan , R. ( 2009 ). Some new properties of the commutative rings (Romanian). Ph.D. Thesis, University of Bucharest .
  • Zafrullah , M. (1985). A general theory of almost factoriality. Manuscripta Math. 51:29–62.
  • Zafrullah , M. ( 1986 ). On generalized Dedekind domains . Mathematika 33 : 285 – 295 .
  • Zafrullah , M. ( 1987 ). On a property of pre-Schreier domains . Comm. Algebra 15 : 1895 – 1920 .
  • Zafrullah , M. ( 1988 ). The D + XDS[X] construction from GCD domains . J. Pure Appl. Algebra 50 : 93 – 107 .
  • Zafrullah , M. ( 2000 ). Putting t-invertibility to use. In: Non-Noetherian Commutative Ring Theory, Math. Appl. Vol. 520. Dordrecht: Kluwer Acad. Publ., pp. 429–457 .
  • Communicated by S. Bazzoni.

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.