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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 10, Pages 55–59 (Mi ivm9405)  

On Pierce problem for reduced $p$-groups

V. M. Misyakov

Tomsk State University, 36 Lenin Ave., Tomsk, 634050 Russia
References:
Abstract: One of problems in the study of abelian groups and their endomorphism rings is the problem of constructing an appropriate structural theory. The structural theorems obtained for abelian groups and their endomorphism rings allow to reduce the study of complex objects to simpler ones. A radical is one of the tools possessing this property. In this paper we describe the Jacobson radical of the endomorphism rings of reduced $p$-groups from some class, which is a solution to the Pierce problem for this class of groups.
Keywords: Abelian group, Jacobson radical, endomorphism ring.
Received: 02.07.2017
Revised: 19.12.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 10, Pages 47–50
DOI: https://doi.org/10.3103/S1066369X18100067
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: V. M. Misyakov, “On Pierce problem for reduced $p$-groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 55–59; Russian Math. (Iz. VUZ), 62:10 (2018), 47–50
Citation in format AMSBIB
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\by V.~M.~Misyakov
\paper On Pierce problem for reduced $p$-groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 10
\pages 55--59
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\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 10
\pages 47--50
\crossref{https://doi.org/10.3103/S1066369X18100067}
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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