Elementary equivalence of unitary linear groups over rings and skew fields
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Publication:4244590
DOI10.1070/rm1998v053n02ABEH000032zbMath0927.20025OpenAlexW2034549686MaRDI QIDQ4244590
Publication date: 28 June 1999
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm1998v053n02abeh000032
Linear algebraic groups over arbitrary fields (20G15) Model-theoretic algebra (03C60) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)
Related Items (16)
The Diophantine problem in the classical matrix groups ⋮ Elementary equivalence of unitary linear groups over rings. ⋮ Combinatorial and logical aspects of linear groups and Chevalley groups. ⋮ A criterion of elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ Elementary equivalence of endomorphism monoids of almost free \(S\)-acts ⋮ Universal equivalence of general and special linear groups over fields ⋮ Regular bi-interpretability of Chevalley groups over local rings ⋮ Universal equivalence of symplectic groups ⋮ Elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings ⋮ Elementary equivalence of categories of modules and other algebraic structures. ⋮ Elementary equivalence of the semigroup of invertible matrices with nonnegative elements. ⋮ Elementary equivalence of Chevalley groups over fields. ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\) ⋮ A criterion of elementary equivalence of automorphism groups of unreduced abelian \(p\)-groups. ⋮ Elementary equivalence of the automorphism groups of Abelian \(p\)-groups.
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