Abstract
It is shown that methods of matroid theory can be applied in studies of some dimensions of modular lattices and modules. In particular one can obtain some fundamental properties of the Goldie and Kuroš-Ore dimensions of modular lattices.
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Puczyłowski, E.R. (2001). On Some Dimensions of Modular Lattices and Matroids. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_22
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DOI: https://doi.org/10.1007/978-1-4612-0181-6_22
Publisher Name: Birkhäuser, Boston, MA
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