Results 81 to 90 of about 55,120 (219)
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
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Idempotent Elements of Weak Projection Generalized Hypersubstitutions
Discussiones Mathematicae - General Algebra and Applications, 2018 A generalized hypersubstitution of type τ = (ni)i∈I is a mapping σ which maps every operation symbol fi to the term σ (fi) and may not preserve arity.
Lekkoksung Nareupanat, Jampachon Prakit
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Strong Resolving Graphs of U‐Clean Graphs of Finite Commutative Rings
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let R be a finite commutative ring with identity 1. The U‐clean graph U‐Cl(R) of a ring R is a simple undirected graph with vertices are of the form (e, u), where e is a nonzero idempotent and u is a unit of R, and two distinct vertices (e, u), (f, v) of U‐Cl(R) are adjacent if and only if e = f = 1 or uv = 1.
Ziyi Wu, Xiaobin Yin, Pramita Mishra
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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
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Left Zeroid and Right Zeroid Elements of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
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Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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Idempotent Weighted Aggregation Based on Binary Aggregation Trees
International Journal of Intelligent Systems, 2017 We propose weighted aggregation algorithms for creating general idempotent weighted aggregators of n variables derived from related symmetric idempotent aggregators of two variables. This computational method, together with interpolative aggregation, can
J. Dujmovic, G. Beliakov
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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 +3 more
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THE TRIPLE IDEMPOTENT GRAPH OF THE RING Z_n
BarekengLet be a commutative ring, and denote the set of all idempotent elements of . The triple idempotent graph of , denoted by , is defined as an undirected simple graph whose vertex set .
Vika Yugi Kurniawan +2 more
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Strongly Invo. T- Clean Rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIn this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
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