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Communications in Algebra Volume 35, 2007 - Issue 9
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Original Articles

Group Gradings on M3(k)

Crina Boboc Faculty of Physics, University of Bucharest, Bucharest, Romania
&
S. Dăscălescu Department of Mathematics, Faculty of Science, Kuwait University, Safat, Kuwait; Faculty of Mathematics, University of Bucharest, Bucharest, RomaniaCorrespondence[email protected] [email protected]
Pages 2654-2670 | Received 23 Jan 2006, Published online: 21 Sep 2007

REFERENCES

  • Bahturin , Yu. A. , Sehgal , S. K. , Zaicev , M. V. ( 2001 ). Group gradings on associative algebras . J. Algebra 241 ( 2 ): 677 – 698 .
  • Bahturin , Yu. A. , Sehgal , S. K. , Zaicev , M. V. ( 2002 ). Group gradings on matrix algebras . Canad. Math. Bull. 45 : 499 – 508 .
  • Boboc , C. ( 2002 ). Superalgebra structures on M 2(k) in characteristic 2 . Comm. Algebra 30 ( 1 ): 255 – 260 .
  • Boboc , C. ( 2003 ). Gradings of M 2(k) by the Klein group . Comm. Algebra 31 ( 5 ): 2311 – 2326 .
  • Boboc , C. , Dăscălescu , S. ( 2001 ). Gradings of matrix algebras by cyclic groups . Comm. Algebra 29 ( 11 ): 5013 – 5021 .
  • Boboc , C. , Dăscălescu , S. ( 2006 ). Good gradings of matrix algebras by finite abelian groups of prime index . Bull. Math. Soc. Sc. Math. Roumanie 49 ( 97 ): 5 – 11 .
  • Caenepeel , S. , Dăscălescu , S. , Năstăsescu , C. ( 2002 ). On gradings of matrix algebras and descent theory . Comm. Algebra 30 ( 12 ): 5901 – 5920 .
  • Dăscăalescu , S. , Ion , B. , Năstăsescu , C. , Rios Montes , J. ( 1999 ). Group gradings on full matrix rings . J. Algebra 220 ( 2 ): 709 – 728 .
  • DeMeyer , F. , Ingraham , E. ( 1971 ). Separable Algebras Over Commutative Rings . Lecture Notes in Math. Vol. 181 . Berlin : Springer Verlag .
  • Green , E. L. ( 1983 ). Graphs with relations, coverings and group-graded algebras . Trans. Amer. Math. Soc. 279 : 297 – 310 .
  • Green , E. L. , Marcos , E. N. ( 1994 ). Graded quotients of path algebras: A local theory . J. Pure Appl. Alg. 93 : 195 – 226 .
  • Kelarev , A. V. ( 1995 ). Applications of epigroups to graded ring theory . Semigroup Forum 50 : 327 – 350 .
  • Kelarev , A. V. ( 2005 ). Directed graphs and Lie superalgebras of matrices . J. Algebra 285 : 1 – 10 .
  • Kersten , I. , Michalicek , J. (1987). A characterization of Galois field extensions of degree 3. Comm. Algebra 15:927–933.
  • Khazal , R. , Boboc , C. , Dăscălescu , S. ( 2003 ). Group gradings on M 2(k) . Bull. Aust. Math. Soc. 68 : 285 – 293 .
  • Knus , M. A. ( 1969 ). Algebras graded by a group . Category Theory, Homology Theory Appl. Proc. Conf. Seattle, Res. Center Baltelle Mem. Inst. 2 : 117 – 133 .
  • Lang , S. ( 2002 ). Algebra. , 3rd ed. GTM 211 . New York : Springer Verlag .
  • Năstăsescu , C. , Van Oystaeyen , F. ( 1982 ). Graded Ring Theory . Mathematical Library , Vol. 28 . Amsterdam, New York, Oxford : North-Holland .
  • Sehgal , S. K. , Zaicev , M. V. ( 2001 ). Finite gradings on simple artinian rings . Vestn. Mosk. Univ., Matem., Mechan. 3 : 21 – 24 .
  • Smith , K. C. , van Wyk , L. ( 2005 ). A concrete matrix field description of some Galois extensions . Linear Algebra Appl. 403 : 159 – 164 .
  • Communicated by E. R. Puczylowski.

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