Petravchuk A. Factorization and complementation in Lie algebras and associative algebras

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0599U000309

Thesis Registration Form

0599U000309.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

31-08-1999

Specialized Academic Board

Д26.001.18

Essay

3. The diissertation is devoted to investigating sums of nilpotent or near to nilpotent Lie algebras and sums of two associative algebras which are near to commutative or nilpotent. The negative solution of the known problem of O.Kegel about solubility of sum of two subalgebras with finite dimensional commutants are investigated, and sums of almost abelian Lie algebras are studied. Some classes of Lie algebras with complemented one-dimensional subalgebras are investigated. Associative algebras, which are sum of two almost commutative subalgebras are studied

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