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Communications in Algebra Volume 36, 2008 - Issue 9
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Original Articles

Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring

Seul Hee Choi Department of Mathematics, Jeonju University, Chon-ju, Korea
,
Jongwoo Lee Graduate School of Railroad, Seoul National University of Technology, Nowongu, Seoul, Korea
&
Ki-Bong Nam Department of Mathematics and Computer Science, University of Wisconsin-Whitewater, Whitewater, USACorrespondence[email protected]
Pages 3435-3446 | Received 30 Aug 2006, Published online: 12 Feb 2011

REFERENCES

  • Ahmadi , M. H. , Nam , K.-B. , Pakinathan , J. ( 2005 ). Lie admissible non-associative algebras . Algebra Colloquium . Vol. 12 , No. 1 , World Scientific , pp. 113 – 120 .
  • Choi , S. H. , Nam , K.-B. ( 2005a ). The derivation of a restricted weyl type non-associative algebra . Hadronic Journal . Vol. 28 , Hadronic Press , pp. 287 – 295 .
  • Choi , S. H. , Nam , K.-B. ( 2005b ). Derivations of symmetric non-associative algebra I . Algebras, Groups, and Geometries 22 ( 3 ): 341 – 352 .
  • Choi , S. H. , Nam , K.-B. (2005c). Derivations of a restricted Weyl type algebra I. Rocky Mountain Journal of Mathematics 37(6):1813–1930.
  • Herstein , I. N. ( 1973 ). Noncommutative Rings . Carus Mathematical Monographs. Mathematical Association of America , pp. 100 – 101 .
  • Humphreys , J. E. ( 1987 ). Introduction to Lie Algebras and Representation Theory . New York : Springer-Verlag , pp. 7 – 21 .
  • Kac , V. G. ( 1974 ). Description of filtered Lie algebra with which Graded Lie algebras of Cartan type are associated . Izv. Akad. Nauk SSSR, Ser. Mat. Tom 38 : 832 – 834 .
  • Ikeda , T. , Kawamoto , N. , Nam , K.-B. ( 2000 ). A Class of Simple Subalgebras of Generalized Witt Algebras . Groups—Korea ’98(Pusan), de Gruyter, Berlin , pp. 189 – 202 .
  • Kirkman , E. , Procesi , C. , Small , L. ( 1994 ). A q-analog for the Virasoro algebra . Comm. Algebra 22 ( 10 ): 3755 – 3774 .
  • Kostrikin , A. I. , Safarevic , I. R. (1969 , AMS). Graded Lie algebras of finite characteristic . Math. USSR Izv. 3 ( 2 ): 237 – 240 .
  • Lee , K.-S. , Nam , K.-B. ( 2004 ). Some W-type algebras I . J. Appl. Algebra Discrete Struct. 2 ( 1 ): 39 – 46 .
  • Nam , K.-B. ( 1999 ). Generalized W and H type Lie algebras . Algebra Colloquium 6 ( 3 ): 329 – 340 .
  • Nam , K.-B. , Choi , S. H. ( 2005a ). Automorphism group of nonassociative algebras . J. Computational Mathematics and Optimization 1 ( 1 ): 35 – 44 .
  • Nam , K.-B. , Choi , S. H. ( 2005b ). On evaluation algebras . Southeast Asian Bull. Math. 29 ( 2 ): 381 – 385 .
  • Osborn , J. M. ( 1997 ). Derivations and Isomorphisms of Lie Algebras of Characteristic 0 . Modular Interfaces (Riverside, CA, 1995), 95–108, AMS/IP Stud. Adv. Math., 4, Amer. Math. Soc., Providence, RI .
  • Osborn , J. M. , Passman , D. S. ( 1995 ). Derivations of skew polynomial rings . J. Algebra 176 ( 2 ): 417 – 448 .
  • Rudakov , A. N. ( 1969 ). Groups of automorphisms of infinite-dimensional simple Lie algebras . Math. USSR-Izvestija 3 : 707 – 722 .
  • Schafer , R. D. ( 1995 ). Introduction to Nonassociative Algebras . Dover Publications , pp. 128 – 138 .
  • Communicated by L. Ein.

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