The Structure of Regular in Symbolic 2-Plithogenic Rings and the Most Important Properties of Their Elements

Murhaf Riad Alabdullah

Journal of Mathematics, 2025, vol. 2025, 1-14

Abstract: In this paper, we generalize the regularity to a symbolic 2-plithogenic structure. We present the structure and elementary properties of regular symbolic 2-plithogenic rings. We also found that the classical regular ring R is equivalent to the symbolic 2-plithogenic ring 2−SPR. In addition, we obtained several important results. The most important of these are as follows: U2−SPR⊆Reg2−SPR. U2−SPR∩Z2−SPR=∅. U2−SPR∩Id2−SPR=1. Id2−SPR∩N2−SPR=0. 2−SPR is regular iff R is regular. We presented a rule for finding the element that satisfies the regularity condition for any element of the regular symbolic 2-plithogenic field. The center of the regular symbolic 2-plithogenic ring is also a regular.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3291008

DOI: 10.1155/jom/3291008

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