Publication:
2-absorbing and weakly 2-absorbing elements in multiplicative lattices
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.
Description
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