Abstract
We construct a triangular algebra whose diagonals form a noncommutative algebra and its lattice of invariant projections contains only two nontrivial projections. Moreover we prove that our triangular algebra is maximal.
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This work was supported by Shaanxi Natural Science Foundation of China (Grant No. 2006A17)
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Dong, A. On triangular algebras with noncommutative diagonals. Sci. China Ser. A-Math. 51, 1937–1944 (2008). https://doi.org/10.1007/s11425-008-0091-2
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DOI: https://doi.org/10.1007/s11425-008-0091-2