Results 71 to 80 of about 1,137 (186)
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 idempotent not conjugate with its complementary idempotent
Annals of the Alexandru Ioan Cuza University - MathematicsSummary: In \(\mathbb{M}_2(\mathbb{Z}[i\sqrt{5}])\), we show that the idempotent \(\begin{bmatrix} 3&\alpha\\-\overline{\alpha}&-2\end{bmatrix}\) with \(\alpha=1+i\sqrt{5}\) is not similar to its complementary idempotent.
Călugăreanu, Grigore, Pop, Horia F.
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Products of Idempotent Operators
Integral Equations and Operator Theory, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Maria Laura +2 more
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AI Magazine, Volume 47, Issue 2, Summer 2026.Abstract The exponential growth of scientific literature—over 2.5 million papers and 3.5 million patents annually—poses critical challenges for knowledge discovery. To address these, we propose SCIMKG (Scientific Knowledge Graph), a framework for constructing scientific knowledge graphs via multi‐source heterogeneous multi‐source.
Erxi Zhu, Yuan Hu
wiley +1 more source
Paraunitary matrices and group rings [PDF]
International Journal of Group Theory, 2014 Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structuresare presented. These include techniques for designing non-separable multidimensional paraunitary matrices.
Barry Hurley, Ted Hurley
doaj
Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley +1 more source
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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Can we repudiate ontology altogether?
Noûs, Volume 60, Issue 2, Page 264-292, June 2026.Abstract Ontological nihilists repudiate ontology altogether, maintaining that ontological structure is an unnecessary addition to our theorizing. Recent defenses of the view involve a sophisticated combination of highly expressive but ontologically innocent languages combined with a metaphysics of features—non‐objectual, complete but modifiable states
Christopher J. Masterman
wiley +1 more source
On linear algebraic semigroups III
International Journal of Mathematics and Mathematical Sciences, 1981 Using some results on linear algebraic groups, we show that every connected linear algebraic semigroup S contains a closed, connected diagonalizable subsemigroup T with zero such that E(T) intersects each regular J-class of S.
Mohan S. Putcha
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On idempotent convexities and idempotent barycenter maps
Topology and its ApplicationsWe consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.
Dawid Krasiński, Taras Radul
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