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Cogent Mathematics Volume 2, 2015 - Issue 1
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Research Article

Matrix ℓ-algebras over ℓ-fields

Jingjing MaDepartment of Mathematics, University of Houston-Clear Lake, 2700 Bay Area Boulevard, Houston, TX, 77059, USA.Correspondence[email protected]
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Shaoyong LaiSouthwestern University of Finance and Economics, China.View further author information
(Reviewing Editor)
Article: 1053660 | Received 05 Jan 2015, Accepted 11 May 2015, Published online: 15 Jun 2015

References

  • Birkhoff, G., & Pierce, R. S. (1956). Lattice-ordered rings. Anais da Academia Brasileira de Ciências, 28, 41–69.
  • Conrad, P. (1961). Some structure theorems for lattice-ordered groups. Transactions of the American Mathematical Society, 99, 212–240.
  • Ma, J. (2000). Lattice-ordered matrix algebras with the usual lattice order. Journal of Algebra, 228, 406–416.
  • Ma, J., & Wojciechowski, P. (2002). A proof of Weinberg’s conjecture on lattice-ordered matrix algebras. Proceedings of the American Mathematical Society, 130, 2845–2851.
  • Schwartz, N. (1986). Lattice-ordered fields. Order, 3, 179–194.
  • Steinberg, S. (2010). Lattice-ordered rings and modules. New York, NY: Springer.
  • Weinberg, E. (1966). Scarcity on lattice-ordered matrix algebras. Pacific Journal of Mathematics, 19, 561–571.

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