Электронная библиотека (репозиторий) Томского государственного университета
Chekhlov, Andrey R.

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Add   On the Bassian property for Abelian groups
Authors: Chekhlov, Andrey R. | Danchev, Peter V. | Goldsmith, Brendan
Source: Archiv der Mathematik. 2021. Vol. 117, № 6. P. 593-600
Type: статьи в журналах
Date: 2021
Description: We define an object (group, ring, module, algebra, etc.) to be Bassian if it is not possible to embed it in a proper homomorphic image of itself. Here we study this concept for Abelian groups and achi ... More
Add   On the socles of characteristically inert subgroups of Abelian p-groups
Authors: Chekhlov, Andrey R. | Danchev, Peter V. | Goldsmith, Brendan
Source: Forum mathematicum. 2021. Vol. 33, № 4. P. 889-898
Type: статьи в журналах
Date: 2021
Description: We define the notion of a characteristically inert socle-regular Abelian p-group and explore such groups by focussing on their socles, thereby relating them to previously studied notions of socle-regu ... More
Add   On the socles of fully inert subgroups of Abelian p-groups
Authors: Chekhlov, Andrey R. | Danchev, Peter V. | Goldsmith, Brendan
Source: Mediterranean journal of mathematics. 2021. Vol. 18, № 3. P. 122 (1-20)
Type: статьи в журналах
Date: 2021
Description: We define the so-called fully inert socle-regular and weakly fully inert socle-regular Abelian p-groups and study them with respect to certain of their numerous interesting properties. For instance, w ... More
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