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A note on Cline’s formula for some generalized inverses in a ring
In this note, we generalize Cline’s formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse,...
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Two inertial hybrid projection algorithms for solving a class of split common solution problems
In this paper, we introduce two new inertial hybrid projection algorithms for solving the split common solution problem with multiple output sets. We...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Semilattice Base Hierarchy for Frames and Its Topological Ramifications
We develop a hierarchy of semilattice bases (S-bases) for frames. For a given (unbounded) meet-semilattice A , we analyze the interval in the coframe...
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On String Algebras and the Cohen–Macaulay Auslander Algebras
The Cohen–Macaulay Auslander algebra of an algebra A is defined as the endomorphism algebra of the direct sum of all indecomposable Gorenstein...
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Examples of cosmological spacetimes without CMC Cauchy surfaces
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein...
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Remarks on Cotton solitons
In this note, we show that the potential vector field of a Cotton soliton ( M , g , V ) is an infinitesimal harmonic transformation, and we use it to...
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The linearized Einstein equations with sources
On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily)...
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Weyl’s law for arbitrary archimedean type
We generalize the work of Lindenstrauss and Venkatesh establishing Weyl’s Law for cusp forms from the spherical spectrum to arbitrary archimedean...
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Chen–Ricci inequalities for quasi bi-slant Riemannian submersions from complex space forms
First, we derive various curvature inequalities involving Ricci and scalar curvatures of horizontal and vertical distributions of a quasi bi-slant...
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Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and...
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On bihom-gerstenhaber algebras up to homotopy
In the current research paper, we define and investigate the concept of BiHom-Gerstenhaber algebra. This algebraic structure is defined by two linear...