Rocky Mountain Journal of Mathematics

Tensor products and endomorphism rings of finite valuated groups

Ulrich Albrecht

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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

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

First available in Project Euclid: 2 August 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20K40: Homological and categorical methods
Secondary: 18G50: Nonabelian homological algebra 20K30: Automorphisms, homomorphisms, endomorphisms, etc.

Valuated groups endomorphism rings preabelian categories


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.

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