Cubic Ideals of TM-algebras

Main Article Content

Fatima M. Ghlaim
Fatema F. Kareem


For the generality of fuzzy ideals in TM-algebra, a cubic ideal in this algebra has been studied, such as cubic ideals and cubic T-ideals. Some properties of these ideals are investigated. Also, we show that the cubic T-ideal is a cubic ideal, but the converse is not generally valid. In addition, a cubic sub-algebra is defined, and new relations between the level subset and a cubic sub-algebra are discussed. After that, cubic ideals and cubic T-ideals under homomorphism are studied, and the image (pre-image) of cubic T-ideals is discussed. Finally, the Cartesian product of cubic ideals in Cartesian product TM-algebras is given. We proved that the product of two cubic ideals of the Cartesian product of two TM-algebras is also a cubic ideal.

Article Details

How to Cite
Ghlaim, F. M. ., & Kareem, F. F. (2023). Cubic Ideals of TM-algebras. Ibn AL-Haitham Journal For Pure and Applied Sciences, 36(1), 367–379.
Author Biography

Fatima M. Ghlaim, Department of Mathematics , College of Education for Pure Sciences,Ibn Al –Haitham/ University of Baghdad




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