%0 Journal Article
%T BORDERED GE-ALGEBRAS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Bandaru, Ravikumar
%A Ozturk, Mehmet Ali
%A Jun, Young Bae
%D 2024
%\ 09/01/2024
%V 12
%N 1
%P 43-58
%! BORDERED GE-ALGEBRAS
%K (Commutative
%K transitive
%K antisymmetric) bordered GE-algebra
%K duplex bordered GE-algebra
%K cross bordered GE-algebra
%R 10.22044/jas.2022.11184.1558
%X The notions of (transitive, commutative, antisymmetric) bordered GE-algebras are introduced,and their properties are investigated. Relations between a commutative bordered GE-algebra and anantisymmetric bordered GE-algebra are considered, and also relations between a commutative borderedGE-algebra and a transitive bordered GE-algebra are discussed. Relations between a bordered GE-algebra and a bounded Hilbert algebra are stated, and the conditions under which every bordered GE-algebra (resp., bounded Hilbert algebra) can be a bounded Hilbert algebra (resp., bordered GE-algebra) are found. The concept of duplex bordered GE-algebras is introduced, and its properties are investigated. Relations between an antisymmetric bordered GE-algebra and a duplex bordered GE-algebra are discussed, and the conditions under which an antisymmetric bordered GE-algebra can be a duplex GE-algebra are established. A characterization of a duplex bordered GE-algebra is provided. A new bordered GE-algebra called cross bordered GE-algebra which is wider than duplex bordered GE-algebra is introduced, and its properties are investigated. Relations between a duplex bordered GE-algebra and a cross bordered GE-algebra are considered.
%U https://jas.shahroodut.ac.ir/article_2834_d6c60e41844c3533f73a16ed6893470f.pdf