On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry

DOI10.17377/semi.2018.15.030zbMath1436.08004MaRDI QIDQ1669748

Aleksandr Georgievich Pinus

Publication date: 4 September 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

elementary typeselementary geometries of algebrasfunctional clones

Mathematics Subject Classification ID

Operations and polynomials in algebraic structures, primal algebras (08A40)

Cites Work

• Isotyped algebras
• Model theory
• \(n\)-elementary embeddability and \(n\)-conditional terms
• On the logical equivalence of functional clones
• Algebraically equivalent clones
• Dimension of functional clones, metric on its collection
• On some of logical closures on universal algebras
• Some logical invariants of algebras and logical relations between algebras