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YCor
YCor
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edit approved Apr 2, 2019 at 9:29
Daniele Tampieri
edit approved Apr 2, 2019 at 9:29
Daniele Tampieri
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Let A,B,C,D$A,B,C,D$ be algebraic systems and A$A$ and B$B$ be elementary equivalent as well as C$C$ and D$D$. Are free products of A, C$A,C$ and B,D$B,D$ elementary equivalent if a) A,B,C,D are groups, 2)A,B,C,D are Lie algebras?

  1. $A,B,C,D$ are groups, or
  2. $A,B,C,D$ are Lie algebras?

If one of this problem (or both) has already been solved, it would be nice to get a reference to the corresponding paper(s).

Let A,B,C,D be algebraic systems and A and B be elementary equivalent as well as C and D. Are free products of A, C and B,D elementary equivalent if a) A,B,C,D are groups, 2)A,B,C,D are Lie algebras? If one of this problem (or both) has already been solved, it would be nice to get a reference to the corresponding paper(s)

Let $A,B,C,D$ be algebraic systems and $A$ and $B$ be elementary equivalent as well as $C$ and $D$. Are free products of $A,C$ and $B,D$ elementary equivalent if

  1. $A,B,C,D$ are groups, or
  2. $A,B,C,D$ are Lie algebras?

If one of this problem (or both) has already been solved, it would be nice to get a reference to the corresponding paper(s).

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Evgeny
Evgeny
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The question about elementary equivalence of free products

Let A,B,C,D be algebraic systems and A and B be elementary equivalent as well as C and D. Are free products of A, C and B,D elementary equivalent if a) A,B,C,D are groups, 2)A,B,C,D are Lie algebras? If one of this problem (or both) has already been solved, it would be nice to get a reference to the corresponding paper(s)