72 citations · 112 across the 8 of their papers we have counts for
4 papers · 1 filter
Algebraic geometry in First Order Logic
B. Plotkin
In every variety of algebras we can consider its logic and its algebraic geometry. In the previous papers geometry in equational logic, i.e., equational geometry has been studi…
Algebras with the same (algebraic) geometry
B. Plotkin
Some basic notions of classical algebraic geometry can be defined in arbitrary varieties of algebras For every algebra in one can consider algebraic geometry in ov…
Automorphisms of the category of free Lie algebras
G. Mashevitzky, B. Plotkin, E. Plotkin
We prove that every automorphism of the category of free Lie algebras is a semi-inner automorphism.
Seven Lectures on the Universal Algebraic Geometry
Boris Plotkin
Some notions of algebraic geometry can be defined for arbitrary varieties of algebras. This leads to universal algebraic geometry. The main idea of the presented theory is to consi…