The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic vector spaces based on symbolic 3-plithogenic sets and classical vector spaces.Also, many related substructures will be defined and handled such as AH-functions, AH-spaces, and symbolic 3-plithogenic basis.
Read MoreDoi: https://doi.org/10.54216/GJMSA.060101
Vol. 6 Issue. 1 PP. 08-12, (2023)
The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic module based on symbolic 3-plithogenic sets and classical modules.Also, many related substructures will be defined and handled such as AH-functions, AH-submodules, and symbolic 3-plithogenic homomorphisms.
Read MoreDoi: https://doi.org/10.54216/GJMSA.060102
Vol. 6 Issue. 1 PP. 13-17, (2023)
This paper is dedicated to answer the following question:If L is a Lie algebra over a field with characteristic zero, and if S is an original property in Lie algebras class, then does S is a characteristic ideal of L?.For this goal, we have proved many related theorems, and illustrated some examples.
Read MoreDoi: https://doi.org/10.54216/GJMSA.060104
Vol. 6 Issue. 1 PP. 28-34, (2023)
This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential equations. Illustrative examples will be given.
Read MoreDoi: https://doi.org/10.54216/GJMSA.060105
Vol. 6 Issue. 1 PP. 35-46, (2023)