REFERENCES
- Amitsur , S. A. ( 1956 ). Algebras over infinite fields . Proc. Amer. Math. Soc. 7 : 35 – 48 .
- Amitsur , S. A. ( 1956 ). Radicals of polynomial rings . Canad. J. Math. 8 : 355 – 361 .
- Anderson , D. D. , Camillo , V. ( 1998 ). Armendariz rings and Gaussian rings . Comm. Algebra 26 : 2265 – 2272 .
- Annin , S. ( 2002 ). Associated primes over skew polynomial rings . Comm. Algebra 30 : 2511 – 2528 .
- Armendariz , E. P. ( 1974 ). A note on extensions of Baer and p.p.-rings . J. Austral. Math. Soc 18 : 470 – 473 .
- Bedi , S. S. , Ram , J. ( 1980 ). Jacobson radical of skew polynomial rings and group rings . Israel J. Math 35 : 327 – 338 .
- Bergen , J. , Grzeszczuk , P. ( 2012 ). Jacobson radicals of ring extensions . J. Pure Appl. Algebra 216 : 2601 – 2607 .
- Chen , W. , Tong , W. ( 2007 ). On skew Armendariz rings and rigid rings . Houston J. Math. 33 : 341 – 353 .
- Ferrero , M. ( 1987 ). Radicals of skew polynomial rings and skew Laurent polynomial rings . Math. J. Okayama 29 : 119 – 126 .
- 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. ( 2011 ). Radicals of skew polynomial rings and skew Laurent polynomial rings . J. Algebra 331 : 428 – 448 .
- Hong , C. Y. , Kwak , T. K. , Rizvi , S. T. ( 2006 ). Extensions of generalized Armendariz rings . Algebra Colloq. 13 : 253 – 266 .
- Jordan , D. A. ( 1982 ). Bijective extensions of injective ring endomorphisms . J. London Math. Soc. 25 : 435 – 448 .
- Jordan , C. R. , Jordan , D. A. ( 1976 ). A note on semiprimitivity of Ore extensions . Comm. Algebra 7 : 647 – 656 .
- Krempa , J. ( 1996 ). Some examples of reduced rings . Algebra Colloq. 3 : 289 – 300 .
- Lam , T. Y. ( 2000 ). A First Course in Noncommutative Rings . New York : Springer .
- Lam , T. Y. , Leroy , A. , Matczuk , J. ( 1997 ). Primeness, Semiprimeness and Prime Radical of Ore extensions . Comm. Algebra 25 : 2459 – 2506 .
- Lee , T. K. , Zhou , Y. ( 2004 ). Armendariz and reduced rings . Comm. Algebra 32 : 2287 – 2299 .
- Marks , G. , Mazurek , R. , Ziembowski , M. ( 2010 ). A unified approach to various generalizations of Armendariz rings . Bull. Aust. Math. Soc. 8 : 361 – 397 .
- Pearson , K. R. , Stephenson , W. , Watter , J. F. ( 1981 ). Skew polynomials and Jacobson rings . Proc. London Math. Soc. 42 : 559 – 576 .
- Rege , M. B. , Chhawchharia , S. ( 1997 ). Armendariz rings . Proc. Japan Acad. Ser. A Math. Sci. 73 : 14 – 17 .
- Smoktunowicz , A. ( 2000 ). Polynomial rings over nil rings need not be nil . J. Algebra 223 : 427 – 436 .
- Communicated by V. A. Artamonov.