J. Korean Math. Soc. 2001; 38(5): 937-954
Printed September 1, 2001
Copyright © The Korean Mathematical Society.
Toma Albu and Mark L. Teply
Bucharest University and University of Wisconsin-Milwaukee
This paper is a natural continuation of [2], [3], [4] and [5]. Localization techniques for modular lattices are developed. These techniques are applied to study liftings of linear order types from quotient lattices and to find $\Gamma$--dense sets in certain lattices without $\Gamma$--deviation in the sense of [4], where $\Gamma$ is a set of indecomposable linear order types.
Keywords: poset, modular lattice, quotient lattice, Krull dimension, dual Krull dimension, $\Gamma$--deviation, Serre class, hereditary torsion theory, localization
MSC numbers: 06A11, 06B23, 06C05, 16P60, 18E15, 18E35, 18E40
2012; 49(6): 1197-1214
2000; 37(3): 371-389
2006; 43(1): 65-76
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd