Abstract
We translate notions and results of decomposition and dimension theories for module categories into the lattice environment. In particular, we translate dimension theory in module categories to complete modular upper-continuous lattices.
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Ríos Montes, J., Zaldívar Corichi, A. Dimension and decomposition in modular upper-continuous lattices. Algebra Univers. 76, 33–51 (2016). https://doi.org/10.1007/s00012-016-0390-3
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DOI: https://doi.org/10.1007/s00012-016-0390-3