Authors: Chekhlov, Andrey R. | Danchev, Peter V. | Keef, Patrick W.

Source: Journal of algebra. 2021. Vol. 566. P. 187-204

Type: статьи в журналах

Date: 2021

Description: If H is a subgroup of an Abelian p-group G, we say G is H-fully transitive if using the height valuation from G, for every x ∈ H, every valuated (i.e., non-height decreasing) homomorphism x → G extend ... More

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

Authors: Danchev, Peter V.

Source: Вестник Томского государственного университета. Математика и механика. 2018. № 51. С. 15-18

Type: статьи в журналах

Date: 2018

Description: For each natural n we prove that there exists an unbounded n-summable abelian pgroup which is essentially indecomposable. This example parallels a well-known result of this kind established for separa ... More

Authors: Chekhlov, Andrey R. | Danchev, Peter V.

Source: Communications in algebra. 2015. Vol. 43, № 12. P. 5059-5073

Type: статьи в журналах

Date: 2015

Authors: Chekhlov, Andrey R. | Danchev, Peter V.

Source: Journal of Group Theory. 2015. Vol. 18. P. 623-647

Type: статьи в журналах

Date: 2015