244
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

McCoy modules and related modules over commutative rings

&
Pages 2593-2601 | Received 17 Nov 2015, Published online: 07 Oct 2016

References

  • Anderson, D. D. (2000). GCD domains, Gauss’ Lemma, and contents of polynomials. In: Chapman, S., Glaz, S., eds. Non-Noetherian Commutative Ring Theory. Mathematics and Its Applications, Vol. 520. Dordrecht/Berlin/London: Kluwer Academic Publications, pp. 1–31.
  • Anderson, D. D., Camillo, V. (1998). Armendariz rings and Gaussian rings. Commun. Algebra 26:2265–2272.
  • Buhphang, A. M., Rege, R. B. (2002). Semi-commutative modules and Armendariz modules. Arab J. Math. Sci. 8:53–65.
  • Camillo, V., Nielsen, P. (2008). McCoy rings and zero divisors. J. Pure Appl. Algebra 212:599–615.
  • Cui, J., Chen, J. (2011). On McCoy modules. Bull. Korean Math. Soc. 48:23–33.
  • McCoy, N. (1942). Remarks on Divisors of Zero. Amer. Math. Monthly 49:286–295.
  • Gilmer, R. (1975). On polynomial and power series rings over a commutative ring. Rocky Mountain J. Math. 5:157–175.
  • Gilmer, R. (1992). Multiplicative Ideal Theory. Queen’s Papers in Pure and Applied Mathematics, Vol. 90. Kingston, Ontario: Queen’s University. (Originally published by Marcel Dekker, New York, 1972)
  • Mazureck, R., Ziembowski, M. (2011). Right Gaussian rings and skew power series rings. J. Algebra 330:130–146.
  • Nielsen, P. (2006). Semi-commutativity and the McCoy condition. J. Algebra 298:134–141.
  • Rege, M. B., Chhawchharia, S. (1997). Armendariz rings. Proc. Japan Acad. Ser. A Math. Sci. 73:14–17.
  • Scott, W. R. (1954). Divisors of zero in polynomial rings. Amer. Math. Monthly 61:336.
  • Tsang, H. (1965). Gauss’ lemma. Dissertation. University of Chicago.
  • Zhou, Y., Ziembowski, M. (2015). Distributive modules and Armendariz modules. J. Math. Soc. Japan 67:789–796.

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.