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Original Articles

Lattice-Ordered Matrix Algebras Over Real GCD-Domains

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Pages 2109-2113 | Received 02 Mar 2011, Published online: 14 May 2013

REFERENCES

  • Birkhoff , G. ( 1995 ). Lattice Theory. , 3rd ed. Amer. Math. Soc. Colloquium Pub., Vol. 25 . Providence : Amer. Math. Soc .
  • Kaplansky , I. ( 1994 ). Commutative Rings . Washington , New Jersey : Polygonal Publishing House .
  • Ma , J. , Redfield , R. H. ( 2007 ). Lattice-ordered matrix rings over the integers . Comm. Algeba. 35 : 2160 – 2170 .
  • Ma , J. , Wojciechowski , P. ( 2002 ). Lattice orders on matrix algebras . Algebra Universalis 47 : 435 – 441 .
  • Steinberg , S. A. ( 2000 ). On the scarcity of lattice-ordered matrix algebras II . Proc. Amer. Math. Soc. 128 : 1605 – 1612 .
  • Steinberg , S. A. ( 2010 ). Lattice-Ordered Rings and Modules . New York : Springer .
  • Weinberg , E. ( 1966 ). On the scarcity of lattice-ordered matrix rings . Pacific J. Math. 19 : 561 – 571 .
  • Communicated by T. Albu.
  • Current address for Fei Li is School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui Province, China.

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