A Hyperstructure is based on the concept of a powerset, providing a framework to model
relationships among elements within a set. Extending this idea, a SuperHyperStructure …

In this paper, we study $\delta $-primary and 2-absorbing $\delta $-primary hyperideals
which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume …

The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is
associated with prime hyperideals and primary hyperideals. Then, we define some of their …

In this paper, we reformulate several results in commutative algebra in terms of commutative
hyperrings. We introduce n-hyperideals in commutative hyperrings and give its some basic …

This paper delves into the concepts of Hyperfunctions and n-Superhyperfunctions,
extending classical set functions into higher-order frameworks. By generalizing properties …

This paper explores the integration of uncertainty frameworks such as Fuzzy, Neutrosophic,
and Plithogenic sets into Large Language Models (LLMs) and Natural Language …

Let $ G $ be a monoid with identity $ e $. In this paper, first we introduce the notions of $ G $-
graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner …

Multiplicative hyperrings are an important class of algebraic hyperstructures which
generalize rings further to allow multiple output values for the multiplication operation. Let R …

In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi $-prime,
$\phi $-primary and $\phi $-$\delta $-primary hyperideals are introduced. We intend to …

In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐
primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals …