Dominions of universal algebras and projective properties

DOI10.1007/S10469-008-9029-6zbMath1164.08313OpenAlexW2012672978MaRDI QIDQ3546134

Aleksandr Ivanovich Budkin

Publication date: 18 December 2008

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-008-9029-6

zbMATH Keywords

nilpotent groupuniversal algebradominionclosed algebraprojective property

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties (08C15) Products, amalgamated products, and other kinds of limits and colimits (08B25)

Related Items (9)

On dominions of the rationals in nilpotent groups ⋮ Dominions in quasivarieties of metabelian groups. ⋮ Dominions in Abelian subgroups of metabelian groups. ⋮ DOMINIONS AND PRIMITIVE POSITIVE FUNCTIONS ⋮ On 2-closedness of the rational numbers in quasivarieties of nilpotent groups ⋮ Dominions in solvable groups. ⋮ Absolutely closed groups in the class of 2-step nilpotent torsion-free groups. ⋮ Epimorphisms, definability and cardinalities ⋮ Absolute closedness of torsion-free abelian groups in the class of metabelian groups.

Cites Work

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• Lattices of dominions in quasivarieties of Abelian groups
• Lattices of dominions of universal algebras
• Epimorphisms and amalgams
• Dominions in varieties of nilpotent groups
• Distributivity conditions for lattices of dominions in quasivarieties of Abelian groups
• Epimorphisms and Dominions. IV
• The Dominion of Isbell

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