Nilpotent Elements of Residuated Lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:Hindawi LimitedJournal:International Journal of Mathematics and Mathematical Sciences, volume 2,012, pages 1-9 (issn: 0161-1712, eissn: 1687-0425,

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Authors: Shokoofeh Ghorbani; Lida Torkzadeh;

doi: 10.1155/2012/763428

Nilpotent Elements of Residuated Lattices

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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.

Related Organizations

Islamic Azad University Kerman
Iran (Islamic Republic of)
Shahid Bahonar University of Kerman
Iran (Islamic Republic of)

Keywords

MV-algebras, QA1-939, Ordered semigroups and monoids, Mathematics

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