Results 51 to 60 of about 20,979 (232)
A Collapse Result in the Mereology of Properties
ABSTRACT I examine five principles about the metaphysics of properties, each of which has been defended in the literature: (1) the sum of properties is their corresponding conjunctive property, (2) the mereology of properties is classical, (3) properties are individuated by necessary co‐instantiation, (4) sums of objects belonging to different ...
Alejandro G. Di Rienzo
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Tripotents: a class of strongly clean elements in rings
Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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The ∞$\infty$‐categorical reflection theorem and applications
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
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Decomposition of Idempotent Operators on Hilbert C*-Modules
This study advances the application of the generalized Halmos’ two projections theorem to idempotent operators on Hilbert C*-modules through a comprehensive study of sums involving adjointable idempotents and their adjoints.
Wei Luo
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Commuting idempotents of an H∗-algebra
Commutative H∗-algebra is characterized in terms of idempotents. Here we offer three characterizations.
P. P. Saworotnow
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On the Q‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure
ABSTRACT Let Γ denote a finite, connected graph with vertex set X. Fix x ∈ X and let ε ≥ 3 denote the eccentricity of x. For mutually distinct scalars { θ i * } i = 0 ε define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) as follows: for y ∈ X we let ( A * ) y y = θ ∂ ( x , y ) *, where ∂ denotes the shortest path length ...
Blas Fernández +3 more
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Various notions of module amenability on weighted semigroup algebras
Let SS be an inverse semigroup with the set of idempotents EE. In this article, we find necessary and sufficient conditions for the weighted semigroup algebra l1(S,ω){l}^{1}\left(S,\omega ) to be module approximately amenable (contractible) and module ...
Bodaghi Abasalt, Tanha Somaye Grailoo
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A Voronoi Diagram‐Based Approach for AC Optimal Power Flow
This paper presents a new approach for AC optimal power flow. The proposed approach begins by constructing a Voronoi diagram using a set of initial sample points that represent candidate solutions distributed across the search space. It then iteratively adds new sample points, including: (i) a tentative optimal point obtained via the continuous ...
Mohammed N. Khamees, Kai Sun
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We introduce a new stable range condition and investigate the structures of rings with many idempotents. These are also generalizations of corresponding results of J. Stock and H. P. Yu.
Huanyin Chen
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We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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