TY - JOUR
ID - 2834
TI - BORDERED GE-ALGEBRAS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Bandaru, Ravikumar
AU - Ozturk, Mehmet Ali
AU - Jun, Young Bae
AD - Department of Mathematics, GITAM(Deemed to be University), P.O. Box 502329,
Telangana State, India
AD - Department of Mathematics, Faculty of Arts and Sciences, AdÄ±yaman University,
P.O. Box 02040, AdÄ±yaman, Turkey
AD - Department of Mathematics Education, Gyeongsang National University, P.O. Box
52828, Jinju, Korea.
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 43
EP - 58
KW - (Commutative
KW - transitive
KW - antisymmetric) bordered GE-algebra
KW - duplex bordered GE-algebra
KW - cross bordered GE-algebra
DO - 10.22044/jas.2022.11184.1558
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_2834.html
L1 - https://jas.shahroodut.ac.ir/article_2834_d6c60e41844c3533f73a16ed6893470f.pdf
ER -