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2018 Tensor products and endomorphism rings of finite valuated groups
Ulrich Albrecht
Rocky Mountain J. Math. 48(3): 703-727 (2018). DOI: 10.1216/RMJ-2018-48-3-703

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.

Citation

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Ulrich Albrecht. "Tensor products and endomorphism rings of finite valuated groups." Rocky Mountain J. Math. 48 (3) 703 - 727, 2018. https://doi.org/10.1216/RMJ-2018-48-3-703

Information

Published: 2018
First available in Project Euclid: 2 August 2018

zbMATH: 06917343
MathSciNet: MR3835568
Digital Object Identifier: 10.1216/RMJ-2018-48-3-703

Subjects:
Primary: 20K40
Secondary: 18G50, 20K30

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 3 • 2018
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