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2-Absorbing and Weakly 2-Absorbing Elements in Multiplicative Lattices |
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| Authors: | C Jayaram Ece Yetkin |
| Institution: | 1. Department of Mathematics , The University of the West Indies , Bridgetown , Barbados;2. Department of Mathematics , Marmara University, Ziverbey , Goztepe , Istanbul , Turkey |
| Abstract: | In this article we study weakly 2-absorbing elements and 2-absorbing elements in C-lattices. Next we characterize C-lattices in which every nonzero proper element is a (weakly) 2-absorbing element. We also establish a new characterization for principal element domains in terms of 2-absorbing elements. |
| Keywords: | 2-Absorbing element Principal element lattice Principal element Prüfer lattice Regular lattice Weakly 2-absorbing element |