2021•Communications in AlgebraRequires access

Poisson primitive ideals of a Poisson order

Y. Van Huynh, Sei‐Qwon Oh, Hanna Sim

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Abstract

Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.

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Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.

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Available abstract

Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.

Key concepts: Mathematics, Poisson distribution, Annihilator, Order (exchange), Ideal (ethics), Poisson algebra, Poisson bracket, Pure mathematics

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