Melnyk I. Primary decompositions of differential torsion theories, ideals and modules

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005694

Thesis Registration Form

0408U005694.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

23-12-2008

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

The thesis is devoted to investigation of primary decompositions and their analogues in differential rings and modules and in torsion theoretic case. The existence of the decomposition of differential submodules into irreducible finite intersection of quasi-prime differential submodules is established. It is also proven that any НК-torsion theory over a completely bounded Noetherian differential ring is a finite intersection of quasi-primary torsion theories.

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Files

aref.doc

dis.doc

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