J. Cimprič

activity

20082024

most citedA Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

37 citations · 139 across the 18 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.AG2011★ 23 cited

Real algebraic geometry for matrices over commutative rings

Jaka Cimpric

We define and study preorderings and orderings on rings of the form $M_{n} (R)$ where $R$ is a commutative unital ring. We extend the Artin-Lang theorem and Krivine-Stengle Stellensät…

math.FA2011★ 37 cited

A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

Jaka Cimpric, Bill Helton, Scott McCullough +1

This article takes up the challenge of extending the classical Real Nullstellensatz of Dubois and Risler to left ideals in a *-algebra A. After introducing the notions of non-commu…

math.OA2011★ 7 cited

On $q$ -normal operators and quantum complex plane

Jaka Cimpric, Yurii Savchuk, Konrad Schmüdgen

For $q > 0$ let $\cA$ denote the unital $*$ -algebra with generator $x$ and defining relation $x x^{*} = q x x^{*}$ . Based on this algebra we study $q$ -normal operators, the complex $…

Real algebraic geometry for matrices over commutative rings

A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

On q-normal operators and quantum complex plane

On $q$ -normal operators and quantum complex plane