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Injective semigroup-algebras [PDF]

open access: yesStudia Mathematica, 1998
Following N. Varopoulos, a Banach algebra \(A\) is said to be injective if the product morphism \(a\otimes b \to ab\) extends to a bounded one from \(A\otimes_\epsilon A\), the algebraic tensor product equipped (but not completed in) the injective tensor norm, to \(A\). The author studies here semigroups \(S\) for which the Banach algebra \(\ell^1(S)\)
openaire   +1 more source

Some Properties of Hyper Ideals in Hyper Hoop‐Algebras

open access: yesJournal 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   +5 more
wiley   +1 more source

Representation of Multilinear Mappings and s‐Functional Inequality

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley   +1 more source

Acoustic waves interacting with non–locally reacting surfaces in a Lagrangian framework

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3855-3892, December 2025.
Abstract The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. They are all derived in a Lagrangian framework. We study well‐posedness of these problems, their mutual relations, and their relations with other evolution ...
Enzo Vitillaro
wiley   +1 more source

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc   +2 more
wiley   +1 more source

On the Structure of С*-Algebras Generated by Representations of the Elementary Inverse Semigroup [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
The class of С*-algebras generated by the elementary inverse semigroup and being deformations of the Toeplitz algebra has been introduced and studied. The properties of these algebras have been investigated.
S.A. Grigoryan, E.V. Lipacheva
doaj  

Semigroup Operator Algebras and Quantum Semigroups

open access: yes, 2013
A detailed study of the semigroup $C^\ast$-algebra is presented. This $C^\ast$-algebra appears as a "deformation" of the continuous functions algebra on a compact abelian group. Considering semigroup $C^\ast$-algebras in this framework we construct a compact quantum semigroups category.
Aukhadiev, Marat   +2 more
openaire   +2 more sources

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