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Skew lattices of matrices in rings

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In [6] J. Leech introduced skew lattices in rings. In the present paper we study skew lattices in rings of matrices. We prove that every symmetric, normal skew lattice with a finite, distributive maximal lattice image can be embedded in a skew lattice of upper-triangular matrices.

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Received September 5, 2003; accepted in final form October 12, 2004.

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Cvetko-Vah, K. Skew lattices of matrices in rings. Algebra univers. 53, 471–479 (2005). https://doi.org/10.1007/s00012-005-1913-5

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  • DOI: https://doi.org/10.1007/s00012-005-1913-5

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