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Yang, Y. and Zhang, X. (2017) Note on Classification of Two-Dimensional Associative Lattice-Ordered Real Algebras. Soft Computing, 21, 2549-2552.
https://doi.org/10.1007/s00500-017-2580-0

has been cited by the following article:

• TITLE: Two-Dimensional Lattice-Ordered Algebras over ℝ-Revisit

  AUTHORS: Jingjing Ma

  KEYWORDS: Direct Product, -Algebra, Squares Positive, -Basis

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.4, April 30, 2026

  ABSTRACT: In this paper, it is first pointed out that the enumeration of two-dimensional lattice-ordered real algebras provided by Birkhoff and Pierce is complete. Then we classify lattice-ordered algebra F×F over a totally ordered field F . Finally in section 4, we provide more information on the partially ordered rings in which every square is positive, especially a characterization of partially ordered fields in which every square is positive is given.