On elementary theory of completion of solvable Baumslag–Solitar group

We define a divisible completion of the solvable Baumslag–Solitar group and prove that under certain restrictions on the elementary theory of this completion is decidable.

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Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления
Published
2024-10-03
DOI
https://doi.org/10.31857/s2686954324030159
Primary Topic
Mathematics and Applications
Type
article
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0.00
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article

On elementary theory of completion of solvable Baumslag–Solitar group

N. S. Romanovskiy
Доклады Российской академии наук Математика информатика процессы управления
Mathematics and Applications
article

On elementary theory of completion of solvable Baumslag–Solitar group

N. S. Romanovskiy
article en

Abstract

We define a divisible completion of the solvable Baumslag–Solitar group and prove that under certain restrictions on the elementary theory of this completion is decidable.

Доклады Российской академии наук Математика информатика процессы управленияVol. 517(1)
Sobolev Institute of Mathematics (RU)
Openalex Percentile: Top 73%
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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On elementary theory of completion of solvable Baumslag–Solitar group — N. S. Romanovskiy · Доклады Российской академии наук Математика информатика процессы управления (2024) | TGRS Research Map | TGRS