Voloshyn D. E.
Ukr. Mat. Zh. - 2012. - 64, № 8. - pp. 1033-1040
We describe derived categories of coherent sheaves over nodal noncommutative curves of string and almost string types.
Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 185-199
We describe vector bundles over a class of noncommutative curves, namely, over noncommutative nodal curves of string type and of almost string type. We also prove that, in other cases, the classification of vector bundles over a noncommutative curve is a wild problem.
Ukr. Mat. Zh. - 2011. - 63, № 7. - pp. 880-879
The structure of nodal algebras over a complete discrete valuation ring with algebraically closed residue field is described.