Tsupiy S. Semi-maximal rings and their quivers

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002449

Thesis Registration Form

0406U002449.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

12-06-2006

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

We describe the structure of the exponent matrix of a semi-maximal ring. A classification of tiled orders, which have quivers with two or three vertices, is obtained. We obtain sufficient conditions on an orgraph under which it is (or can't be) the quiver of a tiled order. Necessary and sufficient conditions on a quiver of a tiled order under which this order is triangular are obtained. All simple orcycles of the quiver of a triangular order are described.

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Files

DIS_S_w.pdf

Dodatki.pdf

aref.doc

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