Geodesic
General quantum polynomials: irreducible modules and Morita equivalence
Izvestiya. Mathematics , Tome 63 (1999) no. 5, pp. 847-880

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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. 
@article{IM2_1999_63_5_a0,
     author = {V. A. Artamonov},
     title = {General quantum polynomials: irreducible modules and {Morita} equivalence},
     journal = {Izvestiya. Mathematics },
     pages = {847--880},
     publisher = {mathdoc},
     volume = {63},
     number = {5},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1999_63_5_a0/}
}
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V. A. Artamonov. General quantum polynomials: irreducible modules and Morita equivalence. Izvestiya. Mathematics , Tome 63 (1999) no. 5, pp. 847-880. http://geodesic.mathdoc.fr/item/IM2_1999_63_5_a0/