This article is cited in 12 papers

General quantum polynomials: irreducible modules and Morita equivalence

V. A. Artamonov

M. V. Lomonosov Moscow State University

Abstract: In this paper we continue the investigation of the structure of finitely generated modules over rings of general quantum (Laurent) polynomials. We obtain a description of the lattice of submodules of periodic finitely generated modules and describe the irreducible modules. We investigate the problem of Morita equivalence of rings of general quantum polynomials, consider properties of division rings of fractions, and solve Zariski's problem for quantum polynomials.

MSC: 16D40, 16D70, 16E20, 16S35, 16S36, 16W30, 17B37

Received: 18.02.1997

DOI: 10.4213/im259

 English version: Izvestiya: Mathematics, 1999, 63:5, 847–880

Bibliographic databases:

• 
• 
•