•  
  •  
 

Author Country (or Countries)

Saudi Arabia

Abstract

In this paper, a new notion named G+-algebra is introduced as a dual G-algebra. Then the relation between G+-algebra with number of abstract algebras including dual BCK-algebra, implication algebra, BE-algebra and J-algebra is investigated and some properties of G+-algebra are studied. Moreover, a binary relation on G+-algebra is defined and proved that it forms a partially ordered relation. Finally, considering G+-algebra, filters and upper sets are studied and related properties are discussed providing an equivalent condition of a filter and finding the relation between filters and upper sets.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100616

Share

COinS