A new representation of fundamental relations on fuzzy hyperrings

M Norouzi - Computational and Applied Mathematics, 2024 - Springer
The γ∗-relation is the smallest fuzzy strongly regular relation on a fuzzy hyperring such that
its quotient space is a ring. In this paper, a subclass of fuzzy hyperrings is considered, where …

[PDF][PDF] An introduction to topological hyperrings

M Nodehi, M Norouzi… - Caspian Journal of …, 2020 - cjms.journals.umz.ac.ir
In this paper, we define topological hyperrings and study their basic concepts which
supported by illustrative examples. We show some differences between topological rings …

On Lie algebras derived from Lie hyperalgebras

H Safa, M Norouzi - Communications in Algebra, 2022 - Taylor & Francis
In this article, we study Lie hyperalgebras and compare them with Lie algebras. We
introduce the L-relation on a Lie hyperalgebra such that the quotient structure by its …

Solvable Lie algebras derived from Lie hyperalgebras

H Safa, M Norouzi - Communications in Algebra, 2024 - Taylor & Francis
Recently we have investigated Lie algebras and abelian Lie algebras derived from Lie
hyperalgebras using the fundamental relations L and A, respectively. In the present paper …