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Normal and cosets of (\gamma, \partial)-fuzzy HX-subgroups
Ahlam Fallatah,Mourad Oqla Massadeh,Abd Ulazeez Alkouri 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In this paper, the concept of (\gamma, \partial)-fuzzy HX-subgroups is introduced. We present some properties of (\gamma, \partial)-normal fuzzy HX-subgroups and we discuss some results related to (\gamma, \partial)-fuzzy cosets.
ON BIPOLAR M - N-MULTI Q-FUZZY SUBGROUPS
MOURAD OQLA MASSA'DEH,AHLAM FALLATAH The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
For any bipolar multi Q-fuzzy set δ of an universe set G, we redefined a normal, conjugate concepts, union and product operations of a bipolar M - N-multi Q-fuzzy subgroups and we discuss some of its properties. On the other hand, we introduce and define the level subsets positive β-cut and negative α-cut of bipolar M - N- multi Q- fuzzy subgroup and discuss some of its related properties.
Endomorphisms, anti-endomorphisms and bi-semiderivations on rings
Abu Zaid Ansari,Faiza Shujat,Ahlam Fallatah 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.1
The goal of this study is to bring out the following conclusion: Let $\mathcal{R}$ be a non-commutative prime ring of characteristic not two and $\mathcal{D}$ be a bi-semiderivation on $\mathcal{R}$ with a function $\mathfrak{f}$ (surjective). If $\mathcal{D}$ acts as an endomorphism or as an anti-endomorphism, then $\mathcal{D} =0$ on $\mathcal{R}$.