Nilpotent Elements of Residuated Lattices

Shokoofeh Ghorbani and Lida Torkzadeh

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-9

Abstract:

Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained. The relation between finite cyclic residuated lattices and simple MV-algebras is obtained. Finally, the notion of nilpotent elements is used to define the radical of a residuated lattice.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:763428

DOI: 10.1155/2012/763428

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