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The ring of soft pˆ-adic numbers
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.2
We have studied and investigated the soft integers as a significant subset of soft real numbers, as we have developed many well-known theorems over integers to deal with the soft theory like the Chinese remainder theorem over the soft integers beside many other theories. Also, we have studied and investigated the p-adic numbers in the aspect of the soft theory to introduce the ring of soft pˆ-adic numbers and study some of their properties.
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.3
In this paper, we have introduced the concept of the soft topological module over soft topological rings as a hybrid of algebraic and soft topological structures. Also, we have studied the properties of soft topological module and their subsystem.
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.3
In this paper, we have proposed a refinement for the concept of soft mapping along with a new definition of the soft element of soft sets to discuss the soft continuity of soft mapping over soft sets. Moreover, we have introduced the concept of soft modules over soft rings and studied the soft continuity of soft module operations over soft topological spaces to proceed with the main goal of this paper. Introducing the concept of soft topological soft modules.