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PreprintCC BY 4.0arXiv

Algebraic derivations and radicals of automorphism groups of algebras

  • A. Yu. Golubkov
Open at sourcePDFDOICite

Abstract

The paper "Algebraic derivations and radicals of automorphism groups of algebras" continues both the well-known line of description of algebraic derivations of semiprime associative algebras in terms of inner derivations of their symmetric Martindale rings of quotients, and results on the coincidence of the prime and weakly solvable radicals of subgroups of multiplicative groups of PI-rings using the example of automorphism groups of algebras associated with their algebraic derivations.

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Cite

BibTeXRIS
BibTeX
@misc{golubkov2026algebraic,
  title = {{Algebraic derivations and radicals of automorphism groups of algebras}},
  author = {A. Yu. Golubkov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.38188},
  eprint = {2609.38188},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38188},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Algebraic derivations and radicals of automorphism groups of algebras
AU  - A. Yu. Golubkov
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.38188
UR  - https://arxiv.org/abs/2609.38188
AB  - The paper "Algebraic derivations and radicals of automorphism groups of algebras" continues both the well-known line of description of algebraic derivations of semiprime associative algebras in terms of inner derivations of their symmetric Martindale rings of quotients, and results on the coincidence of the prime and weakly solvable radicals of subgroups of multiplicative groups of PI-rings using the example of automorphism groups of algebras associated with their algebraic derivations.
ER  -