arXiv subjects

Mona Tarek

Publications and source records attributed to Mona Tarek.

2 recordsLinked to original sources

arXiv2023

Fuzzy Extended Filters oF MS-Algebras

In this article, for an $\emph{MS}$- algebra and a fuzzy filter $χ$, the concept of extended fuzzy filter of $χ$ is presented, notated by $ Υ_{χ,W}$ with $W \subseteq \mathcal{L}$. The features of $Υ_{χ,W}$ are investigated. Furthermore, the strong fuzzy filter is introduced, donated by $Ω_{χ,W}$. Many properties are studied. Characterisation of both $ Υ_{χ,W}, Ω_{χ,W}$ are clarified by using the notion of dense elements with respect to a fuzzy filter. The homomorphisms of both $Υ_{χ,W}$ and $Ω_{χ,W}$ are triggered.

math.GM↗

arXiv2022

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

In this paper, we point out several errors in [M.Afkhami, K.Khashyarmanesh and K.Nafar, Zero divisor graph of a lattice with respect to an ideal, Beitr Algebra Geom (2015), 217-225.]. In the previous article, Afkhami claimed that the intersection of all prime ideals belonging to an ideal I of a distributive lattice L equals to I. In this corrigendum, a counterexample for this sentence is constructed. Afkhami demonstrate a counterexample to a certain theorem which satisfies the necessary and the sufficient condition of the theorem. On the other hand, we reform many proofs in Afkhami's article.

math.AC↗