Weak complemented and weak invertible elements in C-lattices |
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Authors: | C. Jayaram |
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Affiliation: | 1.Department of CMP,University of the West Indies,Bridgetown,Barbados |
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Abstract: | In this paper, we prove that an indecomposable M-lattice is either a principal element domain or a special principal element lattice. Next, we introduce weak complemented elements and characterize reduced M-lattices in terms of weak complemented elements. We also study weak invertible elements and locally weak invertible elements in C-lattices and characterize reduced Prüfer lattices, WI-lattices, reduced almost principal element lattices, and reduced principal element lattices in terms of locally weak invertible elements. |
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