# Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields

## Abstract

Indecomposable torsion-free p-local Abelian groups of finite rank with quadratic and cubic splitting field K are characterized. As a consequence, for groups with quadratic splitting field K it is proved that K-decomposable p-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.

- Authors:

- Moscow State Pedagogical University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771359

- 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; ALGEBRA; FIELD THEORIES; GROUP THEORY; RINGS; TORSION

### Citation Formats

```
Vershina, S. V., E-mail: svetlanavershina@gmail.com.
```*Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3741-0.

```
Vershina, S. V., E-mail: svetlanavershina@gmail.com.
```*Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields*. United States. doi:10.1007/S10958-018-3741-0.

```
Vershina, S. V., E-mail: svetlanavershina@gmail.com. Sun .
"Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields". United States. doi:10.1007/S10958-018-3741-0.
```

```
@article{osti_22771359,
```

title = {Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields},

author = {Vershina, S. V., E-mail: svetlanavershina@gmail.com},

abstractNote = {Indecomposable torsion-free p-local Abelian groups of finite rank with quadratic and cubic splitting field K are characterized. As a consequence, for groups with quadratic splitting field K it is proved that K-decomposable p-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.},

doi = {10.1007/S10958-018-3741-0},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 3,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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