G. A. HAGHIGHATDOOST
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
[ 1 ] - GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
In this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. We show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a Lie groupoid. Using this approach, we associated to every vector field an equivalence relation on the Lie algebra of all vector fields on the smooth...
[ 2 ] - On the cyclic Homology of multiplier Hopf algebras
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...
[ 3 ] - ناوردای توپولوژیکی یک سیستم هامیلتونی انتگرالپذیر روی مخروط واقع در یک میدان پتانسیلی
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