Publication:
2-ABSORBING AND WEAKLY 2-ABSORBING ELEMENTS IN MULTIPLICATIVE LATTICES

Date
2014
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TAYLOR & FRANCIS INC
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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.
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Keywords
2-Absorbing element, Principal element lattice, Principal element, Prufer lattice, Regular lattice, Weakly 2-absorbing element, Primary 06F10, Secondary 06F05, 13A15, COMMUTATIVE RINGS, IDEALS
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