Publications related to Finitely generated algebra

Matching Pursuit Iterative Dipole Based Filter of Background Fields in Phase Imaging

Rolf Gruetter, Yves Wiaux, José Pedro Rebelo Ferreira Marques

The information present in the phase of gradient-echo images has opened a new window to look at fine brain anatomy. To obtain high quality phase images depicting small field perturbations produced by tissue susceptibility differences, large slowly spatiall ...

2011

A counter-example to a conjecture of Felix

If X is a simply connected space of finite type, then the rational homotopy groups of the based loop space of X possess the structure of a graded Lie algebra, denoted L-x. The radical of L-x, which is an important rational homotopy invariant of X, is of fi ...

Elsevier2011

Optically Generated Electric Fields by Lithium Niobate Nanowires

Demetri Psaltis, László Forró, Arnaud Magrez, Ye Pu, Rachel Grange, Chia-Lung Hsieh, Jae-Woo Choi, Rita Smajda

We demonstrate that lithium niobate nanowires generate electric fields under 514 nm continuous wave laser illumination. Birefringent media are used to visualize the generated fields in a microfluidic channel. Input laser polarization dependence is shown. ( ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Twisting structures and strongly homotopy morphisms

Kathryn Hess Bellwald

In an application of the notion of twisting structures introduced by Hess and Lack, we define twisted composition products of symmetric sequences of chain complexes that are degreewise projective and finitely generated. Let Q be a cooperad and let BP be th ...

2010

A counterexample to the local-global principle of linear dependence for Abelian varieties

Antonella Perucca, Peter Simon Jossen

Let A be an Abelian variety defined over a number field k. Let P be a point in A(k) and let X be a subgroup of A(k). Gajda and Kowalski asked in 2002 whether it is true that the point P belongs to X if and only if the point (P mod p) belongs to (X mod p) f ...

2010

A Complete Invariant Generation Approach for P-solvable Loops

Laura Ildiko Kovacs

We present an algorithm for generating all polynomial invariants of P-solvable loops with assignments and nested conditionals. We prove termination of our algorithm. The proof relies on showing that the dimensions of the prime ideals from the minimal decom ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Erik Jarl Pickett

Let

F/E

be a finite Galois extension of fields with abelian Galois group

\Gamma

. A self-dual normal basis for

F/E

is a normal basis with the additional property that

Tr_{F/E}(g(x),h(x))=\delta_{g,h}

for

g,h\in\Gamma

. Bayer-Fluckiger and Lenstra h ...

2010

Integration of plasmonic trapping in a microfluidic environment

Olivier Martin, Sebastian Maerkl, Lina Huang

Near field generated by plasmonic structures has recently been proposed to trap small objects. We report the first integration of plasmonic trapping with microfluidics for lab-on-a-chip applications. A three-layer plasmo-microfluidic chip is used to demons ...

Optical Society of America2009

Non-unitarisable representations and random forests

Nicolas Monod

We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely generate ...

Oxford University Press2009

Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Erik Jarl Pickett

Let K be a finite extension of Q(p), let L/K be a finite abelian Galois extension of odd degree and let D-L be the valuation ring of L. We define A(L/K) to be the unique fractional D-L-ideal with square equal to the inverse different of L/K. For p an odd p ...

2009

Finitely generated algebra

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Matching Pursuit Iterative Dipole Based Filter of Background Fields in Phase Imaging

A counter-example to a conjecture of Felix

Optically Generated Electric Fields by Lithium Niobate Nanowires

Twisting structures and strongly homotopy morphisms

A counterexample to the local-global principle of linear dependence for Abelian varieties

A Complete Invariant Generation Approach for P-solvable Loops

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Integration of plasmonic trapping in a microfluidic environment

Non-unitarisable representations and random forests

Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Twisting structures and strongly homotopy morphisms

A counter-example to a conjecture of Felix

A counterexample to the local-global principle of linear dependence for Abelian varieties

Matching Pursuit Iterative Dipole Based Filter of Background Fields in Phase Imaging

Non-unitarisable representations and random forests

Integration of plasmonic trapping in a microfluidic environment

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Optically Generated Electric Fields by Lithium Niobate Nanowires

A Complete Invariant Generation Approach for P-solvable Loops