Results 71 to 80 of about 22,228 (202)

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source

Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set

Journal of Function Spaces and Applications, 2013
Let Hn be the set of n×n complex Hermitian matrices and 𝒫n (resp., 𝒯n) be the set of all idempotent (resp., tripotent) matrices in Hn. In l-partite quantum system Hm1Tml=⊗1lHmi, ⊗1l𝒫mi (resp., ⊗1l𝒯mi) denotes the set of all decomposable elements ⊗1lAi ...
Jinli Xu, Baodong Zheng, Hongmei Yao
doaj   +1 more source

Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]

Categories and General Algebraic Structures with Applications
In this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
doaj   +1 more source

Rotational Invariance in Resting‐State fMRI: A Geometric Framework for Understanding Signal Processing and Connectivity

Concepts in Magnetic Resonance Part A, Volume 2026, Issue 1, 2026.
Resting‐state functional MRI (rsfMRI) analysis relies on complex mathematical operations whose properties and pitfalls are often poorly understood, leading to interpretational errors and suboptimal processing choices. This work presents novel mathematical insights for rsfMRI analysis through three key contributions: (1) a unified geometric framework ...
Chisondi S. Warioba, Gianluigi Veglia
wiley   +1 more source

A Null Space-Based Blind Source Separation for Fetal Electrocardiogram Signals

Sensors, 2020
This paper presents a new non-invasive deterministic algorithm of extracting the fetal Electrocardiogram (FECG) signal based on a new null space idempotent transformation matrix (NSITM). The mixture matrix is used to compute the ITM. Then, the fetal ECG (
Luay Taha, Esam Abdel-Raheem
doaj   +1 more source

Crossed S-matrices and Character Sheaves on Unipotent Groups [PDF]

, 2015
Let $\mathtt{k}$ be an algebraic closure of a finite field $\mathbb{F}_{q}$ of characteristic $p$. Let $G$ be a connected unipotent group over $\mathtt{k}$ equipped with an $\mathbb{F}_q$-structure given by a Frobenius map $F:G\to G$.
Deshpande, Tanmay
core  

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

Annalen der Physik, Volume 537, Issue 12, December 2025.
 A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley   +1 more source

Cryptography Based on (Idempotent) Semirings: Abandoning Tropicality?

Encyclopedia
This review explores the current state of public key cryptography based on idempotent semirings, with an emphasis on tropical semirings. It examines key hard problems, such as the tropical discrete logarithm problem, semidirect tropical product problem ...
Mariana Durcheva
doaj   +1 more source

Mixability of Finite Groups

Random Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir, Guy Blachar, Subhajit Ghosh, Uzi Vishne   +3 more
wiley   +1 more source

A Heuristic Method for Solving Polynomial Matrix Equations

Axioms
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander, Fernando Sánchez Lasheras   +1 more
doaj   +1 more source