Results 81 to 90 of about 46,949 (225)
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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Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering
Journal of MathematicsThe zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad +3 more
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An Introduction to i-Commutative Rings
MathematicsIn this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
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The Order of Generalized Hypersubstitutions of Type τ=(2)
International Journal of Mathematics and Mathematical Sciences, 2008 The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied ...
Wattapong Puninagool +1 more
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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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On prime spaces of neutrosophic extended triplet groups
Open MathematicsThis article aims to investigate the Zariski topology on the set of prime ideals of a weak commutative neutrosophic extended triplet group (NETG) NN, denoted by Prim(N){\rm{Prim}}\left(N).
Zhou Xin, Xin Xiao Long
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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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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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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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