## Rocky Mountain Journal of Mathematics

### Tensor products and endomorphism rings of finite valuated groups

Ulrich Albrecht

#### Abstract

This paper discusses homological properties of a finite valuated $p$-group $A$. A category equivalence between full subcategories of the category of valuated $p$-groups and the category of right modules over the endomorphism ring of $A$ is developed to study $A$-presented and $A$-valuated valuated $p$-groups. In particular, we show that these classes do not coincide if $|A/pA| \gt p$. Examples are given throughout the paper.

#### Article information

Source
Rocky Mountain J. Math., Volume 48, Number 3 (2018), 703-727.

Dates
First available in Project Euclid: 2 August 2018

https://projecteuclid.org/euclid.rmjm/1533230821

Digital Object Identifier
doi:10.1216/RMJ-2018-48-3-703

Mathematical Reviews number (MathSciNet)
MR3835568

Zentralblatt MATH identifier
06917343

#### Citation

Albrecht, Ulrich. Tensor products and endomorphism rings of finite valuated groups. Rocky Mountain J. Math. 48 (2018), no. 3, 703--727. doi:10.1216/RMJ-2018-48-3-703. https://projecteuclid.org/euclid.rmjm/1533230821

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