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.

中文翻译：

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品种的部分交换群的初等等价和直接积分解

考虑到包含全长2幂零群的变体的部分交换群，我们研究了直积中的因子对消、初等理论的重合、群的初等理论表征以及直积的可能性等问题。分解。