Zelisko H. Ultraproducts of the Noetherian V-domains and their theoretical-torsion propertties

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U001798

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

27-05-2002

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

3. In the dissertation a new characterization of Noetherian V-domains is obtained. The formula that describes the continually generated maximal left ideals in the ultraproduct of Noetherian V-domains is obtained. Necessary and sufficient conditions for existence of isomorphism between the endomorphism ring of the ultraproduct of projective modules and the ultraproduct of endomorphism rings of these modules are found. The spectrum of the ultraproduct of V-domains of principle ideals is constructed

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