Elementary Equivalence and Direct Product Decompositions of Partially Commutative Groups of Varieties

Сибирский математический журнал

article

N. S. Romanovskii¹  E. I. Timoshenko¹ 

[1] Sobolev Institute of Mathematics;Novosibirsk State Technical University

关键词: partially commutative group;    nilpotent group;    solvable group;    elementary theory;   

DOI  :  10.1134/S0037446620030167

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Considering the partially commutative groups of the varieties that include the variety of all length 2 nilpotent groups, we study the questions of factor cancellation in direct products, coincidence of elementary theories, characterization of the group by its elementary theory, and the possibility of direct product decomposition.

【 授权许可】

CC BY