@article {
author = {Bandaru, Ravikumar and Ozturk, Mehmet Ali and Jun, Young Bae},
title = {BORDERED GE-ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {12},
number = {1},
pages = {43-58},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2022.11184.1558},
abstract = {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.},
keywords = {(Commutative,transitive,antisymmetric) bordered GE-algebra,duplex bordered GE-algebra,cross bordered GE-algebra},
url = {https://jas.shahroodut.ac.ir/article_2834.html},
eprint = {https://jas.shahroodut.ac.ir/article_2834_d6c60e41844c3533f73a16ed6893470f.pdf}
}