136
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Zero Divisors in Skew Power Series Rings

&
Pages 4427-4445 | Received 03 Feb 2013, Published online: 06 Jul 2015

REFERENCES

  • Anderson , D. D. , Camillo , V. ( 1998 ). Armendariz rings and Gaussian rings . Comm. Algebra 26 : 2265 – 2272 .
  • Armendariz , E. P. ( 1974 ). A note on extensions of Baer and P.P.-rings . J. Austral. Math. Soc. 18 : 470 – 473 .
  • Başer , M. , Harmanci A., Kwak , T. K. ( 2008 ). Generalized semicommutative rings and their extensions . Bull. Korean Math. Soc. 45 : 285 – 297 .
  • Başer , M. Kwak , T. K., Lee , Y. ( 2009 ). The McCoy condition on skew polynomial rings . Comm. Algebra 37 : 4026 – 4037 .
  • Bell , H. E. ( 1970 ). Near-rings in which each element is a power of itself . Bull. Austral. Math. Soc. 2 : 363 – 368 .
  • Camillo , V. , Nielsen , P. P. ( 2008 ). McCoy rings and zero-divisors . J. Pure Appl. Algebra 212 : 599 – 615 .
  • Cohn , P. M. ( 1999 ). Reversible rings. Bull. London Math. Soc. 31:641–648 .
  • Habibi , M. Moussavi , A., Alhevaz , A. (2013). The McCoy Condition on Ore Extensions. Comm. Algebra 41:124–141.
  • Hong , C. Y. , Kim , N. K. , Kwak , T. K. ( 2000 ). Ore extensions of Baer and p.p.-rings . J. Pure and Appl. Algebra 151 : 215 – 226 .
  • Hong , C. Y. , Kim N. K., Kwak , T. K. ( 2003 ). On skew Armendariz rings . Comm. Algebra 31 : 103 – 122 .
  • Hong, C. Y., Kim, N. K., Lee, Y. Prime ideals and rings skewed by ring endomorphisms (submitted) .
  • Hong , C. Y. , Kwak , T. K. , Rizvi , S. T. ( 2006 ). Extensions of generalized Armendariz rings . Algebra Colloq. 13 : 253 – 266 .
  • Huh , C. , Kim , H. K. , Kim , N. K. , Lee , Y. ( 2005 ). Basic examples and extensions of symmetric rings . J. Pure Appl. Algebra 202 : 154 – 167 .
  • Huh , C. , Lee , Y. , Smoktunowicz , A. ( 2002 ). Armendariz rings and semicommutative rings . Comm. Algebra 30 : 751 – 761 .
  • Kim , N. K. , Kwak , T. K. , Lee , Y. ( 2014 ). Insertion-of-Factors-Property skewed by ring endomorphisms . Taiwanese J. Math. 18 : 849 – 869 .
  • Kim , N. K. , Lee , K. H. , Lee , Y. ( 2006 ). Power series rings satisfying a zero divisor property . Comm. Algebra 34 : 2205 – 2218 .
  • Krempa , J. ( 1996 ). Some examples of reduced rings . Algebra Colloq. 3 : 289 – 300 .
  • Kwak , T. K. , Lee , Y. , Yun , S. J. ( 2012 ). The Armendariz property on ideals . J. Algebra 354 : 121 – 135 .
  • Lambek , J. ( 1971 ). On the representation of modules by sheaves of factor modules . Canad. Math. Bull. 14 : 359 – 368 .
  • Lee , T. K. , Zhou , Y. Q. ( 2004 ). Armendariz and reduced rings . Comm. Algebra 32 : 2287 – 2299 .
  • Lee , T. K. , Zhou , Y. ( 2008 ). A unified approach to the Armendariz property of polynomial rings and power series rings . Colloq. Math. 113 : 151 – 168 .
  • Matczuk , J. ( 2004 ). A characterization of σ-rigid rings . Comm. Algebra 32 : 4333 – 4336 .
  • McCoy , N. H. ( 1942 ). Remarks on divisors of zero . Amer. Math. Monthly 49 : 286 – 295 .
  • Nasr-Isfahani , A. R. ( 2011 ). On skew triangular matrix rings. Comm. Algebra 39: 4461–4469 .
  • Nielsen , P. P. ( 2006 ). Semi-commutativity and the McCoy condition . J. Algebra 298 : 134 – 141 .
  • Pearson , Stephenson , W. ( 1977 ). A skew polynomial ring over a Jacobson ring need not be a Jacobson ring . Comm. Algebra 5 : 783 – 794 .
  • Rege , M. B. , Chhawchharia , S. ( 1997 ). Armendariz rings . Proc. Japan Acad. Ser. A Math. Sci. 73 : 14 – 17 .
  • Yang , S. , Song , X. , Liu , Z. ( 2011 ). Power-serieswise McCoy rings . Algebra Colloq. 18 : 301 – 310 .
  • Communicated by Q. Wu

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.