Definable invariants of bilinear mappings

DOI10.1007/BF00971153zbMath0763.03020OpenAlexW1976097838MaRDI QIDQ1813802

Alexei G. Myasnikov

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971153

zbMATH Keywords

finitely generated nilpotent groupsfinite Morley rankcommutation operatorelementary theories of bilinear mappingsuncountable-categorical rings

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Axiomatic model classes (08C10)

Related Items

Tarski-type problems for free associative algebras ⋮ Groups elementarily equivalent to a free 2-nilpotent group of finite rank. ⋮ Groups elementarily equivalent to a free nilpotent group of finite rank ⋮ Elementary equivalence of rings with finitely generated additive groups ⋮ On automorphisms of groups, rings, and algebras ⋮ Algebraic geometry over groups. III: Elements of model theory. ⋮ UNDECIDABILITY OF THE FIRST ORDER THEORIES OF FREE NONCOMMUTATIVE LIE ALGEBRAS ⋮ The theory of models of bilinear mappings ⋮ ω-STABILITY AND MORLEY RANK OF BILINEAR MAPS, RINGS AND NILPOTENT GROUPS ⋮ Diophantine problems in solvable groups ⋮ Elementary equivalence for finitely generated nilpotent groups and multilinear maps

Cites Work

• Formularity of sets of Mal'tsev bases, and elementary theories of finite algebras. I
• Totally categorical groups and rings
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