LATTICE OF WEAK HYPER K-IDEALS OF A HYPERK-ALGEBRA
Publish place: Journal of Algebraic Systems، Vol: 1، Issue: 2
Publish Year: 1393
Type: Journal paper
Language: English
View: 442
This Paper With 13 Page And PDF Format Ready To Download
- Certificate
- I'm the author of the paper
Export:
Document National Code:
JR_JAS-1-2_005
Index date: 4 August 2015
LATTICE OF WEAK HYPER K-IDEALS OF A HYPERK-ALGEBRA abstract
In this note, we study the lattice structure of the class of all weak hyper K-ideals of a hyper K-algebra. We rst introduce the notion of (left, right) scalar element in a hyper K-algebra which helps us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of a hyper K-algebra and prove that, under suitable conditions, a special subclass of this class forms a Boolean lattice.
LATTICE OF WEAK HYPER K-IDEALS OF A HYPERK-ALGEBRA Keywords:
LATTICE OF WEAK HYPER K-IDEALS OF A HYPERK-ALGEBRA authors