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Algebra i logika, 2022, Volume 61, Number 1, Pages 3–22
DOI: https://doi.org/10.33048/alglog.2022.61.101 (Mi al2694) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Automorphisms of the category of free finitely generated algebras

E. V. Aladova

Universidade Federal do Rio Grande do Norte, Lagoa Nova
Full-text PDF (260 kB) Citations (4)
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DOI: https://doi.org/10.33048/alglog.2022.61.101
Abstract: Let an arbitrary variety of algebras and the category of all free finitely generated algebras in that variety be given. In universal algebraic geometry over an arbitrary variety of algebras, the group of automorphisms of the category of free finitely generated algebras plays an important role. This paper is first in a series where we will deal with the group mentioned. Here we describe properties of automorphisms of the category of all free finitely generated algebras and distinguish two important subgroups, namely, the subgroup of inner automorphisms and the subgroup of strongly stable automorphisms.
Keywords: variety of algebras, category of free finitely generated algebras, universal algebraic geometry over arbitrary variety of algebras, group of automorphisms.
Funding agency Grant number
Israel Science Foundation 1623/16
1994/20
Received: 28.04.2021
Revised: 07.06.2022
English version:
Algebra and Logic, 2022, Volume 61, Issue 1, Pages 1–15
DOI: https://doi.org/10.1007/s10469-022-09671-1
Bibliographic databases:
Document Type: Article
UDC: 512.54.05+512.57
Language: Russian
Citation: E. V. Aladova, “Automorphisms of the category of free finitely generated algebras”, Algebra Logika, 61:1 (2022), 3–22; Algebra and Logic, 61:1 (2022), 1–15
Citation in format AMSBIB
\Bibitem{Ala22}
\by E.~V.~Aladova
\paper Automorphisms of the category of free finitely generated algebras
\jour Algebra Logika
\yr 2022
\vol 61
\issue 1
\pages 3--22
\mathnet{http://mi.mathnet.ru/al2694}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4471692}
\transl
\jour Algebra and Logic
\yr 2022
\vol 61
\issue 1
\pages 1--15
\crossref{https://doi.org/10.1007/s10469-022-09671-1}
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  • https://www.mathnet.ru/eng/al/v61/i1/p3
    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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