FUZZY LIE IDEALS OVER A FUZZY FIELD

M. Akram; K.P. Shum

FUZZY LIE IDEALS OVER A FUZZY FIELD

Authors

M. Akram Punjab University - College of Information Technology
K.P. Shum The University of Hong Kong - Department of Mathematics

Keywords:

fuzzy field, fuzzy ideals over fuzzy field, Artinian and Noetherian Lie algebras

Abstract

The concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field is introduced and some fundamental properties of such fuzzy Lie ideals are given. We then characterize the Artinian and Noetherian Lie algebras by considering their fuzzy Lie ideals over a fuzzy field.

Cover of n°27 Italian Journal of Pure and Applied Mathematics

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Published

2010-12-15

How to Cite

Akram, M., & Shum, K. (2010). FUZZY LIE IDEALS OVER A FUZZY FIELD. Italian Journal of Pure and Applied Mathematics, 27, 281–292. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5813