On Serre's Problem for RIT Algebras

Ioannis E. Antoniou International Solvay Institutes for Physics and Chemistry, Bd. du Triomphe, Brussels, Belgium; Department of Mathematics and Mechanics, Moscow State University, Vorobjovy Gory, Moscow, Russia; Department of Mathematics, Aristotel University of Thessalonici, Thessalonici, Greece; International Solvay Institutes for Physics and Chemistry, Campus Plaine ULB C.P. 231, Bd. du Triomphe, Brussels, 1050, Belgium; Department of Mathematics and Mechanics, Moscow State University, Vorobjovy Gory, Moscow, 119899, Russia; Department of Mathematics, Aristotel University of Thessalonici, Thessalonici, 54006, Greece

Natalia K. Iyudu Department of Mathematics and Mechanics, Moscow State University, Vorobjovy Gory, Moscow, Russia

Robert Wisbauer Mathematisches Institut, Henrich Heine Universität, Düsseldorf, Germany

Abstract

We construct a counterexample to Serre's problem for over a RIT algebra, which is a noncommutative quadratic algebra, given by quadratic relations, more general than the relations of the Weyl algebra and of a universal enveloping of finite dimensional Lie algebra.

Key Words:

Acknowledgments

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

On Serre's Problem for RIT Algebras

Information for

Open access

Opportunities

Help and information

Your download is now in progress and you may close this window

Login or register to access this feature

On Serre's Problem for RIT Algebras

Abstract

Acknowledgments

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date