Orthogonal completion of algebraic systems II

Abstract

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.