Zhuravl'ov V. Gorenstein tiled orders

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U003159

Thesis Registration Form

0401U003159.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

29-10-2001

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

All reduced Gorenstein semi-maximal rings are described whose quivers have at most 7 vertices. Some properties of quivers of such orders are considered. All sdeals of Gorenstein semi-maximal (0,1)-rings are described which have quasi-Frobenius quotient rings. It is shown that the Cayley table of finite group is an exponents matrix a Gorenstein semi-maximal order if and only if this group has period 2.

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