arXiv subjects

A. Yu. Golubkov

Publications and source records attributed to A. Yu. Golubkov.

2 recordsLinked to original sources

arXiv2026

Orthogonal completion of algebraic systems

The paper considers the generalization of the construction of orthogonal completion to all semiprime linear algebras (systems), its implementation in maximal systems of quotients similar to the symmetric Martindale ring of quotients for known examples of their description in terms of algebras of quotients of graded Lie algebras and technical results for applying the orthogonal completion method to them.

math.RA↗

arXiv2026

Orthogonal completion of algebraic systems II

The paper "Orthogonal completion of algebraic systems II" continues the line of "Orthogonal completion of algebraic systems" from the perspective of almost classical localizations of algebras and the conclusions of K.~I.~Beidar's doctoral dissertation. This allows one to apply the orthogonal completion method to describe non-degenerate orthogonally complete algebras bases on known classifications of strongly prime algebras.

math.RA↗