21
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Group rings R[G] with 3-generated ideals when R is artinian

, &
Pages 1253-1280 | Received 01 Dec 1994, Published online: 20 Oct 2011

References

  • Amold , J. T. and Gilmer , R. 1976 . The dimension theory of commutative semigroup rings . Houston J. Math. , 2 : 299 – 313 .
  • Amold , J. T. and Matsuda , R. 1986 . The n-generator property for semigroup rings . Houston J. Math. , 12 : 345 – 356 .
  • Cohen , I. S. 1950 . Commutative rings with restricted minimum condition . Duke Math , 17 : 27 – 42 .
  • Gilmer , R. 1972 . Multiplicative ideal theory. , New York : Dekker .
  • Gilmer , R. 1984 . “ Chicago Lectures in Mathematics ” . In Commutative semigrorup rings. , Univ. Chicago Press .
  • Jacobson , N. 1985 . Freeman . Basic Algebra , 1989
  • Kaplansky , I. 1974 . “ Commutative rings ” . The University of Chicago Press .
  • Matsuda , R. 1979 . “ Torsion free abelian semigroup rings,V ” . In Bull. Fac. Sci , Vol. 11 , 1 – 37 . Ibaraki Univ. .
  • Matsuda , R. 1984 . “ N-generator property of a polynomial ring ” . In Bull. Fac. Sci , Vol. 16 , 17 – 23 . Ibaraki Univ .
  • Mc Lean , K. R. 1982 . Local ring with bounded ideals . J. Algebra , 74 : 328 – 332 .
  • Nagata , M. 1962 . “ Interscience ” . In Local ring New York
  • Okon , J. , Rush , D. and Vicknair , P. 1992 . Semigroup rings with two generated ideals . J. London Math. Soc. , 45 : 417 – 432 .
  • Okon , J. and Vicknair , P. 1992 . Group rings with n-generated ideals . Comm. Algebra , 20 : 189 – 217 .
  • Sally , J. D. 1978 . “ Lectures Notes in Pure and Applied Mathematics ” . In Number of generators of ideals in local rings , Vol. 35 , New York : Marcel Dekker .
  • Shalev , A. 1986 . On the number of generators of ideals in local rings . Adv. Math , 59 : 82 – 94 .
  • Shalev , A. 1990 . Dimension subgroup, nilpotency indices and the number of generators of ideals in p-group algebras . J. Algebra , 129 : 412 – 438 .

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.