Abstract.
In this paper we study \( \mathcal{l} \)-prime elements in C-lattices and characterize Prüfer lattices, almost principal element lattices and principal element lattices in terms of \( \mathcal{l} \)-prime elements. Using these results, some new characterizations are given for general ZPI-rings and almost multiplication rings. Finally some new equivalent conditions are given for Dedekind lattices.
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Received August 18, 2000; accepted in final form April 22, 2002.
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Jayaram, C. \( \mathcal{l} \)-prime elements in multiplicatice lattices. Algebra univers. 48, 117–127 (2002). https://doi.org/10.1007/s00012-002-8207-y
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DOI: https://doi.org/10.1007/s00012-002-8207-y