# On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group

## Abstract

In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types.

- Authors:

- Lobachevsky State University of Nizhni Novgorod (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771358

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; GROUP THEORY; MATHEMATICAL MODELS; TORSION

### Citation Formats

```
Vildanov, V. K., E-mail: kadirovi4@gmail.com.
```*On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3742-Z.

```
Vildanov, V. K., E-mail: kadirovi4@gmail.com.
```*On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group*. United States. doi:10.1007/S10958-018-3742-Z.

```
Vildanov, V. K., E-mail: kadirovi4@gmail.com. Sun .
"On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group". United States. doi:10.1007/S10958-018-3742-Z.
```

```
@article{osti_22771358,
```

title = {On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group},

author = {Vildanov, V. K., E-mail: kadirovi4@gmail.com},

abstractNote = {In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types.},

doi = {10.1007/S10958-018-3742-Z},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 3,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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