Lattice-ordered matrix algebras over real UFD rings

Details Lattice-ordered matrix algebras over real UFD rings Lattice-ordered matrix algebras over real UFD rings

2010-10-21

arxiv.org/abs/1010.4380v4

Mathematics

Rings and Algebras

11 pages

Scientific paper

Let $ R \subset \R $ be a unique factorization domain. In this paper, the
Weinberg's conjecture on the $ n \times n $ matrix ring $ M_{n}(R) \ (n \geq 2)
$ is proved. Moreover, all the lattice orders (up to isomorphisms) on a full $
2 \times 2 $ matrix algebra over $ R $ are obtained.

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