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Source: Forum mathematicum. 2022. Vol. 34, № 4. P. 1081-1094
Type: статьи в журналах
Date: 2022
Description:
We study some close relationships between the classes of transitive, fully transitive and Krylov transitive torsion-free Abelian groups. In addition, as an application of the achieved assertions, we r
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Source: Monatshefte für Mathematik. 2022. Vol. 198, № 3. P. 517-534
Type: статьи в журналах
Date: 2022
Description:
Extending results from our recent paper in Chekhlov et al. (J Algebra 566(2):187–204, 2021), we define and explore the classes of universally fully transitive and universally Krylov transitive torsion
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Source: Communications in algebra. 2022. Vol. 50, № 11. P. 4975-4987
Type: статьи в журналах
Date: 2022
Description:
In regard to two recent publications in the Mediterranean J. Math. (2021) and Forum Math. (2021) related to fully and characteristically inert socleregularity, respectively, we define and study the so
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Source: International electronic journal of algebra. 2021. Vol. 30. P. 217-230
Type: статьи в журналах
Date: 2021
Description:
A ring R is called left comorphic if for every a ∈ R there exists b ∈ R such that the left and right annihilators satisfy Ra = l(b) and r(a) = bR. In this paper, the Abelian groups with left comorphic
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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
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Source: Journal of mathematical sciences. 2021. Vol. 259, № 4. P. 506-514
Type: статьи в журналах
Date: 2021
Description:
A description of projectively fully transitive groups is presented in classes of divisible groups, mixed split groups, and separable and vector torsion-free groups.
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
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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
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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
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Source: Journal of mathematical sciences. 2021. Vol. 259, № 4. P. 515-517
Type: статьи в журналах
Date: 2021
Description:
Quasi-homogeneous weakly transitive rank 2 torsion-free groups are described, and any finite rank torsion-free group with strongly indecomposable pure subgroups is shown to be weakly transitive.
Source: Mathematical notes. 2021. Vol. 109, № 5/6. P. 948-953
Type: статьи в журналах
Date: 2021
Description:
For a projectively invariant subgroup C of a reduced p-group G, a nondecreasing sequence of ordinals and the symbol ∞ is constructed in which the kth position, k = 0, 1, 2,... , is occupied by the min
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Source: Expositiones mathematicae. 2021. Vol. 39, № 3. P. 354-368
Type: статьи в журналах
Date: 2021
Description:
Since solitary subgroups of (infinite) Abelian groups are precisely the strictly invariant subgroups which are co-Hopfian (as groups), and strictly invariant subgroups turn out to be strongly invarian
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Source: Mathematical notes. 2018. Vol. 103, № 3/4. P. 649-655
Type: статьи в журналах
Date: 2018
Description:
A group is said to be homomorphically stable with respect to another group if the union of the homomorphic images of the first group in the second group is a subgroup of the second group. A group is s
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Source: Siberian mathematical journal. 2016. Vol. 57, № 5. P. 929-934
Type: статьи в журналах
Date: 2016
Description:
We describe fully quasitransitive torsion-free groups in the class of groups whose endomorphism ring is a skew field as well as in the class of groups that are direct sums of homogeneous groups. We pr
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Source: Communications in algebra. 2015. Vol. 43, № 12. P. 5059-5073
Type: статьи в журналах
Date: 2015
