Аннотация
We find a natural generalization of the concept of rigid group. The generalized rigid groups are also called r-groups. The terms of the corresponding rigid series of every r-group can be characterized by both ∃-formulas and ∀-formulas. We find a recursive system of axioms for the class of r-groups of fixed solubility length. We define divisible r-groups and give an appropriate system of axioms. Several fundamental problems are stated.
Язык оригинала | английский |
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Страницы (с-по) | 705-709 |
Число страниц | 5 |
Журнал | Siberian Mathematical Journal |
Том | 59 |
Номер выпуска | 4 |
DOI | |
Состояние | Опубликовано - 1 июл 2018 |