On Hyper ρ/δ-Algebra
Keywords:Keywords: Hyper ρ/δ-algebra, hyper ρ/δ-ideal, hyper -ideal, Hyper ρ/δ-subalgebra, ρ/δ-algebra
In this work, new concepts of algebra structures such as hyper algebra, Hyper algebra were defined. These concepts are introduced by using a hyper operation * on is a mapping from to the non-empty power set i.e. , , and defined as and . Let be a hyper structure such that , in hyper structure a hyper order is a relation was defined by , with some properties. Also, some examples to illustrate our notions are given. And the relationship between these concepts is also discussed.
Published Online First 20/09/2023
Abdullah HK, Jawad HK. New Taypes of Pseudo Ideals in Pseudo Q-algebra. Baghdad Sci J. 2019 16(2): 403-408. https://doi.org/10.21123/bsj.2019.16.2.0403
Kider JR, Ali AH. Properties of a Complete Fuzzy Normed Algebra. Baghdad Sci J. 2019; 16(2): 382-388. https://www.researchgate.net/publication/333670609_Properties_of_a_Complete_Fuzzy_Normed_Algebra
Radfar AR, Saeid A. hyper BE-algebra. Novi Sad J Math. 2014; 44(2): 137-147. https://www.researchgate.net/publication/268207641_HYPER_BE-ALGEBRAS
Jun YB, Zahedib MM, XIN XL, Borzooei RA yb. On hyper BCK-Algebra. Ital J Pure Appl Math 2000; 10: 127-136. https://www.semanticscholar.org/paper/On-hyper-BCK-algebras-Jun-Zahedi/.
Surdive AT, Slestin N, Clestin L. Coding Theory and Hyper BCK-Algebras. J Hyperstructures. 2018; 7(2): 82-93. https://www.researchgate.net/publication/342179779_CODING_THEORY_AND.
Uzay DS, Firat A. On Multiplier of Hyper BCI-Algebras. GU J Sci. 2019; 32(2): 660-665. https://www.semanticscholar.org/paper/On-Multiplier-of-Hyper-BCI.
DU YD, Zhang XH. Hyper BZ-algebra and semihypergroups. J algebr Hyperstrucres log Algebr. 2021; 2(3): 13-28. https://www.semanticscholar.org/paper/Hyper-BZ-algebras-and.
Mostafa SM, Kareem FF, Davva ZB. Hyper Structure Theory Applied To KU-Algebras. J hyperstructures. 2018; 6(2): 82-95. https://www.researchgate.net/publication/322365739_HYPER_STRUCTURE.
Romano D. Hyper UP-Algebras. J hyperstructures. 2019; 8(2): 112-122. https://www.researchgate.net/publication/342866070_HYPER_UP-ALGEBRAS
Khan M, Rahman K, Abdullah S, Hasain F. On Hyper BCH-Algebra. Ital J Pure APPl. 2019; (41): 85-96. https://www.researchgate.net/publication/332541790_On_hyper_BCH-algebra
Hameed AT, Kareem FF, Ali SH. Hyper AT-ideal on AT-algebra. J Phys Conf Seri. 2020; (1530): 012116. https://iopscience.iop.org/article/10.1088/1742-6596/1530/1/012116/meta
Khalil S, Alradha M. Characterizations of p-algebra and Generation Permutation Topological ρ-algebra using Permutation in Symmetric Group. Amerian J Math Stat. 2017; 7(4): 152-159. https://www.researchgate.net/publication/318658697_Characterizations_of_r-algebra_and_Generation_Permutation_Topological_r-algebra_Using_Permutation_in_Symmetric_Group
Khalil SM, Hassan AN. The Characterization of δ -Algebras with Their Ideals. J Phys Conf Seri. 2021; 1999(1)1: 012108. https://iopscience.iop.org/article/10.1088/1742-6596/1999/1/012108/meta
Copyright (c) 2023 Baghdad Science Journal
This work is licensed under a Creative Commons Attribution 4.0 International License.