# Vahid NouroziAmirkabir University of Technology | TUS · Department of Mathematics and Computer Science

Doctor of Mathematics

10
Publications
530
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6
Citations
Introduction
Skills and Expertise
Education
August 2019 - December 2021
Field of study
• Algebraic geometry - Goppa Code

## Publications

Publications (10)
Article
Full-text available
The a-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the a-number of y q + y = x q+1 3 and s t=1 y q/3 t = x q+1 with q = 3 s over the finite field F q 2 using the action of the Cartier operator on H 0 (C, Ω 1).
Article
Full-text available
In this paper, we compute a formula for the a-number of certain maximal curves given by the equation y q + y = x q+1 2 over the finite field F q 2. The same problem is studied for the maximal curve corresponding to ∑ s t=1 y q/2 t = x q+1 with q = 2 s , over the finite field F q 2 .
Article
Based on a theorem of McCoy on commutative rings, Nielsen called a ring [Formula: see text] right McCoy if for any nonzero polynomials [Formula: see text] over [Formula: see text], [Formula: see text] implies [Formula: see text] for some [Formula: see text]. In this note, we introduce and investigate McCoy and [Formula: see text]-properties of Hurw...
Article
Full-text available
For a ring endomorphism α of a ring R, Krempa called α a rigid en-domorphism if aα(a) = 0 implies a = 0 for a ∈ R. A ring R is called rigid if there exists a rigid endomorphism of R. In this paper, we extend the α-rigid property of a ring R to the upper nilradical Nil * (R) of R. For an endomorphism α and the upper nilradical Nil * (R) of a ring R,...
Preprint
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In this paper, we compute a formula for the \$a\$-number of certain hyperelliptic curves given by the equation \$y^2= x^m+1\$ for infinitely many values of \$m\$. The same question is studied for the curve corresponding to \$y^2= x^m+x\$.
Article
Full-text available
We study the structure of the set of nilpotent elements in skew Hurwitz 12 polynomial ring (hR, α), when R is an α-Armendariz ring. We prove that if R is a 13 nil α-Armendariz ring and α t = IR, then the set of nilpotent elements of R is an 14 α-compatible subring of R. Also, it is shown that if R is an α-Armendariz ring and 15 α t = IR, then R is...
Article
Full-text available
For a ring endomorphism α, we introduce and investigate skew Hurwitz serieswise Armendariz (or SHA) rings which are a generalization of α-rigid rings and determine the radicals of the skew Hurwitz series ring (HR, α), in terms of those of R. We prove that several properties transfer between R and the extensions, in case R is an SHA-ring. We also co...