Výsledky vyhledávání - "Zinna, Md. Ali"

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Autor: Das, Mrinal Kanti, Tikader, Soumi, Zinna, Md. Ali

Let $R$ be a smooth affine domain of dimension $d\geq 2$ over an infinite perfect field $k$. We establish a morphism from the Euler class group $E^d(R)$ to $Um_{d+1}(R)/E_{d+1}(R)$, the group of elementary orbits of unimodular rows.
Comment: Com

Externí odkaz: http://arxiv.org/abs/1712.06162

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${\mathbb P}^1$-gluing for local complete intersections

Autor: Das, Mrinal Kanti, Tikader, Soumi, Zinna, Md. Ali

We prove an analogue of the Affine Horrocks' Theorem for local complete intersection ideals of height $n$ in $R[T]$, where $R$ is a regular domain of dimension $d$, which is essentially of finite type over an infinite perfect field of characteristic

Externí odkaz: http://arxiv.org/abs/1709.08627

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From Euler class groups to Mennicke symbols and a monic inversion principle

Autor: Das, Mrinal Kanti, Tikader, Soumi, Zinna, Md. Ali

Let $R$ be a regular domain of dimension $d\geq 2$ which is essentially of finite type over an infinite perfect field $k$. We compare the Euler class group $E^d(R)$ with the van der Kallen group $Um_{d+1}(R)/E_{d+1}(R)$. In the case $2R=R$, we define

Externí odkaz: http://arxiv.org/abs/1701.00509

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Unimodular Elements in Projective Modules and an analogue of a result of Mandal

Autor: Keshari, Manoj K., Zinna, Md. Ali

Publikováno v: J, Commut. Algebra 10 (2018), no 3, 359-373

Let $R$ be a Noetherian commutative ring of dimension $n$, $A=R[X_1,\cdots,X_m]$ be a polynomial ring over $R$ and $P$ be a projective $A[T]$-module of rank $n$. Assume that $P/TP$ and $P_f$ both contain a unimodular element for some monic polynomial

Externí odkaz: http://arxiv.org/abs/1611.02469

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Existence of unimodular elements in a projective module

Autor: Keshari, Manoj K., Zinna, Md. Ali

Publikováno v: J. Pure Appl. Algebra 221 (2017), no 11, 2805-2814

Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim$(R)=n$. Let $P$ be a projective $A=R[T_1,\cdots,T_k]$-module of rank $n$ with determinant $L$. Suppose $I$ is an ideal of $A$ of height $n$ such that there

Externí odkaz: http://arxiv.org/abs/1611.02471

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Efficient generation of ideals in a discrete Hodge algebra

Autor: Keshari, Manoj K., Zinna, Md. Ali

Publikováno v: J. Pure Appl. Algebra 221 (2017), no 4, 960-970

Let $R$ be a commutative Noetherian ring and $D$ be a discrete Hodge algebra over $R$ of dimension $d>\text{dim}(R)$. Then we show that (i) the top Euler class group $E^d(D)$ of $D$ is trivial. (ii) if $d>\text{dim}(R)+1$, then $(d-1)$-st Euler class

Externí odkaz: http://arxiv.org/abs/1611.02468

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