163
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Projective ideals of skew polynomial rings over HNP rings

, , , &
Pages 2546-2556 | Received 11 Nov 2015, Published online: 07 Oct 2016

References

  • Bass, H. (1960). Finitistic dimension and homological generalizations of semiprimary rings. Trans. A.M.S. 95:466–488.
  • Eisenbud, D., Robson, J. C. (1970). Hereditary Noetherian prime rings. J. Algebra 16(1):86–104.
  • Fujita, H., Nishida, K. (1982). Ideals of hereditary noetherian prime rings. Hokkaido Math. J. 11(3):286–294.
  • Gilmer, R. (1992). Multiplicative Ideal Theory. Queen’s papers in Pure and Applied Mathematics, Vol. 90. Queen’s University, New York.
  • Marubayashi, H. (1984). A skew polynomial ring over a v-HC order with enough v-invertible ideals. Commun. Algebra 12(13):1567–1593.
  • Marubayashi, H., Miyamoto, H., Ueda, A. (1997). Non-Commutative Valuation Rings and Semi-Hereditary Orders. K-Monographs in Mathematics, Vol. 3. Kluwer Academic Publishers: Boston.
  • Marubayashi, H., Van Oystaeyen, F. (2012). Prime Divisors and Noncommutative Valuation Theory. Lecture Notes in Mathematics. Vol. 2059. Heidelberg: Springer.
  • Marubayashi, H., Zhang, Y., Yang, P. (1998). On the rings of the Morita contexts which are some well known orders. Commun. Algebra 26(5):1429–1444.
  • McConnell, J. C., Robson, J. C. (1984). Noncommutative Noetherian rings. In: Small, L. W., ed. Pure and Applied Mathematics (New York). Chichester: John Wiley & Sons, Ltd. (A Wiley-Interscience Publication).
  • Robson, J. C. (1968). Non-commutative Dedekind rings. J. Algebra 9:249–265.
  • Robson, J. C. (1972). Idealizers and hereditary Noetherian prime rings. J. Algebra 22:45–81.
  • Tarsy, R. B. (1970). Global dimension of orders. Trans. A.M.S. 151:335–340.

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.