Nilpotent Elements of Residuated Lattices

Joint Authors

Ghorbani, Shokoofeh
Torkzadeh, Lida

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-16

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Ghorbani, Shokoofeh& Torkzadeh, Lida. 2012. Nilpotent Elements of Residuated Lattices. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-496884

Modern Language Association (MLA)

Ghorbani, Shokoofeh& Torkzadeh, Lida. Nilpotent Elements of Residuated Lattices. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-496884

American Medical Association (AMA)

Ghorbani, Shokoofeh& Torkzadeh, Lida. Nilpotent Elements of Residuated Lattices. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-496884

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496884