Results 11 to 20 of about 44 (44)

Prime Number Identification Demonstrated With Quantum Processors Using a New Rescaling‐Based Noise Mitigation Technique

Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.
Prime number identification is implemented on IBM Quantum processors through entanglement dynamics. The PIED protocol encodes arithmetic information in the reduced purity of a bipartite quantum system, whose Fourier spectrum reveals prime/composite signatures.
Victor F. dos Santos, Victor P. Brasil, Pedro A. S. Contri, Jonas Maziero   +3 more
wiley   +1 more source

Solutions and Stability of Triple Homoderivations Associated With Mixed 3D‐Jensen and Additive Functional Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we introduce a new concept called mixed 3D‐Jensen and additive functional equations FEs. In the following, we demonstrate that they are additive mappings and we show that they can be C‐linear. After that, we define triple homoderivations under the above condition on triple Banach algebras (TBAs).
Iman Bahreini, Javad Izadi, Shikha Binwal   +2 more
wiley   +1 more source

Characterization of Reverse (l, m, n)‐Homoderivations on Prime and Semiprime Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
We introduce the concept of reverse (l, m, n)‐homoderivations as a new class of additive mappings on rings, providing a common generalization of reverse derivations, antihomomorphisms, and related homoderivation‐type mappings. After establishing their existence via suitable examples, we examine their influence on the prime and semiprime ring structures.
M. S. Tammam El-Sayiad, Munerah Almulhem, Mahmoud M. El-Soufi, Shikha Binwal   +3 more
wiley   +1 more source

Permuting Generalized f‐Triderivations on Lattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed, Faiza Shujat, Abu Zaid Ansari, Pramita Mishra   +3 more
wiley   +1 more source

Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber, Hafedh Alnoghashi, Radwan M. Al-Omary, Khaled Aldwoah, Bakri Younis, M. I. Elashiry, Huadong Su   +6 more
wiley   +1 more source

On the Structure of Near‐Rings via P‐Semiderivations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces the concept of a P‐semiderivation on a near‐ring N, which serves as a generalization of the classical notion of a semiderivation. We investigate the fundamental properties of P‐semiderivations in relation to a nonempty subset P⊆N. The study primarily focuses on the structure of 3‐prime near‐rings that admit such mappings.
Ali Yahya Hummdi, Inzamam Ul Huque, Hafedh Alnoghashi, Radwan M. Al-Omary, Pramita Mishra   +4 more
wiley   +1 more source

Homoderivations in the Environment of d‐Algebras: Characterization, Structural Properties, and Semigroup Structure

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber, Radwan M. Al-Omary, Zakia Z. Al-Amery, Muntasir Suhail, Amel Touati, Khaled Aldwoah, Smritijit Sen   +6 more
wiley   +1 more source

Left Ideals Satisfying Central‐Valued Identities Modulo Semiprime Ideals via Multiplicative (Generalized) Derivations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the behavior of semiprime ideals that satisfy certain algebraic identities using multiplicative (generalized) derivations. In addition, examples are provided to show that the limits imposed on the hypotheses of the different theorems are not superfluous.
Amal S. Alali, Abdelkarim Boua, Claus Haetinger, Nadeem ur Rehman, Hafedh Alnoghashi, Smritijit Sen   +5 more
wiley   +1 more source

Fully noncentral Lie ideals and invariant additive subgroups in rings

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully noncentral, that is, its image in every quotient is noncentral. For a unital algebra over a field of characteristic ≠2$\ne 2$ where every additive commutator is a sum of
Eusebio Gardella, Tsiu‐Kwen Lee, Hannes Thiel   +2 more
wiley   +1 more source

Prime Graphs of Polynomials and Power Series Over Noncommutative Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The prime graph PG(R) of a ring R is a graph whose vertex set consists of all elements of R. Two elements x, y ∈ R are adjacent in the graph if and only if xRy = 0 or yRx = 0. An element a ∈ R is called a strong zero divisor in R if 〈a〉〈b〉 = 0 or 〈b〉〈a〉 = 0 for some nonzero element b ∈ R. The set of all strong zero divisors is denoted by S(R).
Walaa Obaidallah Alqarafi, Wafaa Mohammed Fakieh, Alaa Abdullah Altassan, Shikha Binwal   +3 more
wiley   +1 more source