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Orthogonal completion of algebraic systems

A. Yu. Golubkov

math.RAarXiv:2609.01854

Abstract

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.

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