Results 91 to 100 of about 15,000 (228)

A Study of Non-Associative Ordered Semigroups in Terms of Semilattices via Smallest (Double-Framed Soft) Ideals

International Journal of Analysis and Applications, 2018
Soft set theory, introduced by Molodtsov has been considered as a successful mathematical tool for modeling uncertainties. A double-framed soft set is a generalization of a soft set, consisting of union soft sets and intersectional soft sets.
Faisal Yousafzai, Tauseef Asif, Asghar Khan, Bijan Davvaz   +3 more
doaj   +2 more sources

The hull-kernel topology on prime ideals in ordered semigroups

Open Mathematics
The aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
doaj   +1 more source

New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]

Matrix Science Mathematic, 2017
Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan, Nor Haniza Sarmin, Asghar Khan , Hidayat Ullah Khan   +3 more
doaj   +1 more source

The sharp upper bound for generation of linear semigroups by higher order equations with fractional powers

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra, Lucas A. Santos, Maria J. M. Silva   +2 more
wiley   +1 more source

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source

Some Properties of Hyper Ideals in Hyper Hoop‐Algebras

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu, Wondosen Zemene Norahun, Derso Abeje Engidaw, Gezahagne Mulat Addis, Berhanu Bekele Belayneh, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

Amenable Orders on Orthodox Semigroups

Journal of Algebra, 1994
From the authors' introduction. ``Let \(S\) be a semigroup. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property \(| T\cap V(x)|=1\) for every \(x\in S\), where \(V(x)\) denotes the set of inverses of \(x\in S\). We write the unique element of \(T\cap V(x)\) as \(x^ 0\), and \(T\) as \(S^ 0= \{x^ 0\): \(
Blyth, T.S., Santos, M.H.A.
openaire   +2 more sources

An ordered set of Nörlund means

International Journal of Mathematics and Mathematical Sciences, 1981
Nörlund methods of summability are studied as mappings from ℓ1 into ℓ1. Those Nörlund methods that map ℓ1 into ℓ1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup.
J. Defranza
doaj   +1 more source