On Some Dimensions of Modular Lattices and Matroids

Puczyłowski, E. R.

doi:10.1007/978-1-4612-0181-6_22

E. R. Puczyłowski⁴

Part of the book series: Trends in Mathematics ((TM))

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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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Authors and Affiliations

Institute of Mathematics, University of Warsaw, 02-097, Warsaw, Banacha 2, Poland
E. R. Puczyłowski

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E. R. Puczyłowski
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Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA
Gary F. Birkenmeier
Department of Mathematics, Pusan National University, Pusan, 609-735, Korea
Jae Keol Park
Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea
Young Soo Park

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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
Print ISBN: 978-1-4612-6650-1
Online ISBN: 978-1-4612-0181-6
eBook Packages: Springer Book Archive

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