138
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Prüfer v-Multiplication Domains and w-Multiplicative Canonical Ideals

Pages 1280-1292 | Received 16 May 2010, Published online: 05 Apr 2012

REFERENCES

  • Anderson , D. D. ( 1988 ). Star-operations induced by overrings . Comm. Algebra 16 ( 12 ): 2535 – 2553 .
  • Anderson , D. D. , Cook , S. J. ( 2000 ). Two star-opertions and their induced lattices . Comm. Algebra 28 ( 5 ): 2461 – 2475 .
  • Anderson , D. D. , Zafrullah , M. ( 1999 ). Independent locally-finite intersections of localizations . Houston J. Math. 25 ( 3 ): 433 – 452 .
  • Barucci , V. , Houston , E. , Lucas , T. , Papick , I. ( 2001 ). m-Canonical ideals in integral domains II . In: Anderson D. D., Papick , I. , eds. Ideal theoretic methods in commutative algebra . Lecture Notes in Pure and Appl. Math. 220 , New York : Dekker , pp. 89 – 108 .
  • Bass , H. ( 1963 ). On the ubiquity of Gorenstein rings . Math. Z. 82 : 8 – 28 .
  • Bazzoni , S. ( 2000 ). Divisorial domains . Forum Math. 12 : 397 – 419 .
  • Bazzoni , S. , Salce , L. ( 1996 ). Warfield domains . J. Algebra 185 : 836 – 868 .
  • El Baghdadi S., Gabelli , S. ( 2005 ). w-Divisorial domains . J. Algebra 285 : 335 – 355 .
  • Heinzer , W. ( 1968 ). Integral domains in which each non-zero ideal is divisorial . Mathematika 15 : 164 – 170 .
  • Heinzer , W. , Huckaba , J. A. , Papick , I. J. ( 1998 ). m-Canonical ideals in integral domains . Comm. Algebra 26 ( 9 ): 3021 – 3043 .
  • Houston , E. G. ( 1986 ). On divisorial prime ideals in Prüfer v-multiplication domains . J. Pure Appl. Algebra 42 : 55 – 62 .
  • Houston , E. G. , Zafrullah , M. ( 1988 ). Integral domains in which each t-ideal is divisorial . Michigan Math. J. 35 : 291 – 300 .
  • Houston , E. G. , Zafrullah , M. ( 1989 ). On t-invertibility II . Comm. Algebra 17 ( 8 ): 1955 – 1969 .
  • Kunz , E. B. ( 1971 ). Die kanonische Idealklasse eines eindimensionalen Cohen–Macaulay-Rings, in Der kanonische Modul eines Cohen-Macaulay-Rings (Sem. Lokale Kohomologietheorie von Grothendieck, Univ. Regensburg, Regensburg, 1970/1971). Lecture Notes in Math. 238, Berlin-Heidelberg: Springe, pp. 17–24, 103 .
  • Matlis , E. ( 1968 ). Reflexive domains . J. Algebra 8 : 1 – 33 .
  • Matlis , E. ( 1973 ). 1-Dimensional Cohen-Macaulay Rings . Berlin-Heidelberg : Springer .
  • Communicated by R. Wiegand.

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.