Elementary Equivalence of Stable Linear Groups over Local Commutative Rings with 1/2

Bunina, E. I.; Mikhalëv, A. V.; Solovyev, I. O.

doi:10.1007/s10958-018-3951-5

Search citation statements

Order By: Relevance

Paper Sections

Select...

Stable Linear Groups1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our previous paper (see [13]) it was proved that despite an "infinite" dimension of the stable group, from elementary equivalence of two arbitrary rings with unit it follows elementary equivalence of stable linear groups over them, i.e., we do not need higher-order logic. In the same paper we proved that from elementary equivalence of stable linear groups over commutative local rings with 1/2 it follows elementary equivalence of the corresponding rings.…”

Section: Stable Linear Groupsmentioning

confidence: 99%