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Original Articles

Regular Unital Finite-Dimensional Lattice-Ordered Algebras

Pages 1680-1689 | Received 21 Sep 2010, Published online: 15 May 2012

REFERENCES

  • Birkhoff , G. ( 1967 ). Lattice Theory. , 3rd ed. Amer. Math. Soc. Colloq. Vol. 25. Amer. Math. Soc. RI : Providence .
  • Birkhoff , G. , Pierce , R. S. ( 1956 ). Lattice-ordered rings . An. Acad. Brasil. Ci. 28 : 41 – 69 .
  • Colville , P. , Davis , G. , Keimel , K. ( 1977 ). Positive derivations on f-rings . J. Australian Math. Soc. 23 : 371 – 375 .
  • Conrad , P. ( 1961 ). Some structure theorems for lattice-ordered groups . Trans. Amer. Math. Soc. 99 : 212 – 240 .
  • Diem , J. ( 1968 ). A radical for lattice-ordered rings . Pacific J. 25 : 71 – 82 .
  • Herstein , I. ( 1971 ). Noncommutative rings . The Carus Mathematical Monographs 15 .
  • Henriksen , M. , Smith , F. A. ( 1982 ). Some properties of positive derivations on f-rings . Contemporary Math. 8 : 175 – 184 .
  • Jacobson , N. ( 1974 ). Basic Algebra I . San Francisco : W. H. Freeman and Company .
  • Ma , J. (2004). Finite-dimensional lattice-ordered algebras with d-elements. J. Algebra 280:232–243.
  • Ma , J. ( 2006 ). Lattice-ordered algebras with a d-basis . J. Algebra 299 : 731 – 746 .
  • Ma , J. ( 2011 ). Finite-dimensional ℓ-simple lattice-ordered algebras with a d-basis . Algebra Univers. 65 : 341 – 351 .
  • Ma , J. , Redfield , R. H. ( 2009 ). Positive derivations on Archimedean lattice-ordered rings . Positivity 13 : 165 – 191 .
  • Steinberg , S. ( 2010 ). Lattice-Ordered Rings and Modules . New York : Springer .
  • Communicated by I. Swanson.

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