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Article

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1.1 MATHEMATICS

Publication Details

https://www.degruyter.com/document/doi/10.1515/forum-2022-0208/html?lang=en

Goldsmith, Brendan and Salce, Luigi. "The Pierce decomposition and Pierce embedding of endomorphism rings of abelian p-groups" Forum Mathematicum, vol. 35, no. 4, 2023, pp. 991-1003.

https://doi.org/10.1515/forum-2022-0208

Abstract

We prove that more classes of groups than those described by Pierce have the property that the map Ψ is surjective, and we furnish examples of groups which do not have this property. Several results connecting the Pierce decomposition and the Pierce embedding of End(G) are obtained that allow one to derive general conditions on a group G which ensure that the Pierce embedding of End(G) is not surjective.

DOI

https://doi.org/10.1515/forum-2022-0208

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No funding was received for this work.

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Creative Commons Attribution-Share Alike 4.0 International License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

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