Symmetric Martindale Quotient Rings of Ore Extensions with More than One Indeterminate

REFERENCES

• Andreeva , T. A. , L'vov , I. V. , Kharchenko , V. K. ( 1996 ). The rings of quotients of free algebras . Algebra and Logic 35 ( 6 ): 366 – 370 .
   Google Scholar
• Bergen , J. , Montgomery , S. ( 1992 ). Ideals and quotients in crossed products of Hopf algebras . J. Algebra 152 ( 2 ): 374 – 396 .
   Web of Science ®Google Scholar
• Burkov , V. D. ( 1980 ). On derivationally prime rings . Uspekhi Matematicheskikh Nauk 35 ( 5 ): 219 – 220 .
   Google Scholar
• Chuang , C. L. , Lee , T. K. , Liu , C. K. , Tsai , Y. T. ( 2010 ). Higher derivations of ore extensions . Israel J. Math 175 : 157 – 178 .
   Web of Science ®Google Scholar
• Chuang , C.-L. , Tsai , Y.-T. ( 2010 ). Symmetric utumi quotient rings of ore extensions by skew derivations . Proceedings of the American Math Society 138 ( 9 ): 3125 – 3133 .
   Web of Science ®Google Scholar
• Chuang , C.-L. , Tsai , Y.-T. ( 2012 ). Smash products and differential identities . Transactions of the American Math Society 364 ( 8 ): 4155 – 4168 .
   Web of Science ®Google Scholar
• Serre , J.-P. ( 1992 ). Lie Algebras and Lie Groups. 1964 Lectures, Given at Harvard University . Lecture Notes in Mathematics, Vol. 1500. 2nd ed. Berlin : Springer-Verlag .
   Google Scholar
• Tsai , Y.-T. , Chuang , C.-L. ( 2008 ). Quotient rings of ore extensions with more than one indeterminate . Commun. Algebra 36 ( 10 ): 3608 – 3615 .
   Web of Science ®Google Scholar
• Tsai , Y.-T. , Wu , T.-Y. , Chuang , C.-L. ( 2007 ). Jacobson radicals of ore extensions of derivation type . Commun. Algebra 35 ( 3 ): 975 – 982 .
   Web of Science ®Google Scholar
• Communicated by A. Smoktunowicz.
   Google Scholar