TY - JOUR
T1 - Elementary equivalence of rings with finitely generated additive groups
AU - Myasnikov, Alexei G.
AU - Oger, Francis
AU - Sohrabi, Mahmood
N1 - Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/6
Y1 - 2018/6
N2 - We give algebraic characterizations of elementary equivalence between rings with finitely generated additive groups. They are similar to those previously obtained for finitely generated nilpotent groups. Here, the rings are not supposed associative, commutative or unitary.
AB - We give algebraic characterizations of elementary equivalence between rings with finitely generated additive groups. They are similar to those previously obtained for finitely generated nilpotent groups. Here, the rings are not supposed associative, commutative or unitary.
KW - Bilinear map
KW - Definable scalar ring
KW - Elementary equivalence
KW - Nilpotent group
KW - Ring
UR - http://www.scopus.com/inward/record.url?scp=85041129879&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85041129879&partnerID=8YFLogxK
U2 - 10.1016/j.apal.2018.01.005
DO - 10.1016/j.apal.2018.01.005
M3 - Article
AN - SCOPUS:85041129879
SN - 0168-0072
VL - 169
SP - 514
EP - 522
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
IS - 6
ER -