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In this small note we correct an error made by Mohammadi et al. in their paper entitled "On Skew Cyclic Codes Over A Finite Ring" ( Iranian Jl. Math. Sci. Inform. Vol 14 (1) (2019), 135-145).

Information Theory · Computer Science 2022-09-20 Swati Bhardwaj , Madhu Raka

The first part of this paper is a survey of mathematical results on mirror symmetry phenomena between Hitchin systems for Langlands dual groups. The second part introduces and discusses multiplicity algebras of the Hitchin system on…

Algebraic Geometry · Mathematics 2021-12-23 Tamás Hausel

This paper has been withdrawn by the author due to a crucial error in equation.

General Relativity and Quantum Cosmology · Physics 2011-01-07 Naonori Suma Sugiyama , Toshifumi Futamase

Haga's fold in paper folding is generalized. Recent generalization of Haga's theorems and problems in Wasan geometry involving Haga's fold are also generalized.

History and Overview · Mathematics 2017-12-27 Hiroshi Okumura

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

Geometric Topology · Mathematics 2009-03-30 Emmanuel Wagner

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

The initial techniques developed in Euclid's Elements, well before the use of the parallel postulate, are reexamined in order to clarify even the most obscure details, particularly those related to equality, superposition and angle…

Metric Geometry · Mathematics 2025-02-04 Peter M Johnson

In Grammatical Error Correction, systems are evaluated by the number of errors they correct. However, no one has assessed whether all error types are equally important. We provide and apply a method to quantify the importance of different…

Computation and Language · Computer Science 2022-05-13 Leshem Choshen , Ofir Shifman , Omri Abend

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

Representation Theory · Mathematics 2011-09-21 Syu Kato

We survey some recent results and constructions of almost-K\"ahler manifolds whose curvature tensors have certain algebraic symmetries. This is an updated and corrected version of the (to be) published manuscript.

Differential Geometry · Mathematics 2007-05-23 Vestislav Apostolov , Tedi Draghici

In the literature, the notion of discrepancy is used in several contexts, even in the theory of graphs. Here, for a graph $G$, $\{-1, 1\}$ labels are assigned to the edges, and we consider a family $\mathcal{S}_G$ of (spanning) subgraphs of…

Combinatorics · Mathematics 2020-02-28 József Balogh , Béla Csaba , Yifan Jing , András Pluhár

This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.

Algebraic Geometry · Mathematics 2007-05-23 Marco Boggi

In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and…

Algebraic Geometry · Mathematics 2024-07-31 Adrien Dubouloz , Arnaud Mayeux , João Pedro dos Santos

This note completes a talk given at the conference Curves over Finite Fields: past, present and future celebrating the publication the book {\em Rational Points on Curves over Finite Fields by J.-P. Serre and organised at Centro de ciencias…

Algebraic Geometry · Mathematics 2022-04-05 Alain Couvreur

[1] investigates advanced connotations of Hardy and Rellich-type inequalities on complete noncompact Riemannian manifolds, delving on deriving inequalities that incorporate poignant weight functions. These inequalities prolongate classical…

Differential Geometry · Mathematics 2024-11-13 Shouvik Datta Choudhury

The claim in \cite{Al-Badawi:2025ipr} that *"the errors in the foundational components (3) and (5) of Ref. [1] invalidate all subsequent analyses, numerical results, and physical interpretations that depend on them"* is **entirely…

General Relativity and Quantum Cosmology · Physics 2026-01-05 David Senjaya

An algebraic deformation theory of module-algebras over a bialgebra is constructed. The cases of module-coalgebras, comodule-algebras, and comodule-coalgebras are also considered.

Rings and Algebras · Mathematics 2007-05-23 Donald Yau

Claims by Kroha and Zawadowski in cond-mat/0105026 on inadequate approximations and an incorrect statement in cond-mat/0102150 are shown to be based on oversimplified estimates and a false quotation.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Georg Goeppert , Hermann Grabert

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

This is a corrigendum to Acta Math. 196 (2006) as well as to the follow-up publications JFA 259 (2010) and to JFA 260 (2011).

Metric Geometry · Mathematics 2024-01-30 Karl-Theodor Sturm