PreprintCC BY 4.0arXiv
Orthogonal completion of algebraic systems
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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BibTeX
@misc{golubkov2026orthogonal,
title = {{Orthogonal completion of algebraic systems}},
author = {A. Yu. Golubkov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.01854},
eprint = {2609.01854},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01854},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Orthogonal completion of algebraic systems
AU - A. Yu. Golubkov
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2609.01854
UR - https://arxiv.org/abs/2609.01854
AB - 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.
ER -