Darmosiuk V. Noetherian semiperfect and semidistributive rings

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U003774

Thesis Registration Form

0409U003774.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

20-10-2009

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

In the dissertation it is proved the property of ring to be hereditary order is two-minor in the class of semiperfect rings. It is proved that every weakly prime right hereditary SPSD - ring is a serial Noetherian ring. We show that a reduced tiled order A is the Gorenstein triangular order if and only if the ring B=A/пA is serial ring. It is proved that a tiled order A is serial and hereditary if and only if the A/R^2 is quasi-Frobenius.

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Files

Diser(s).pdf

aref.doc

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