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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 2, Pages 97–106
(Mi fpm1403)
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This article is cited in 5 scientific papers (total in 5 papers)
$\mathcal E$-closed groups and modules
A. V. Grishin, A. V. Tsarev Moscow State Pedagogical University
Abstract:
The paper discusses Abelian groups (modules) isomorphic to their endomorphism groups (modules). A necessary and sufficient condition is given according to which the commutativity of the endomorphism ring of a group $G$ follows from the isomorphism $G\cong\operatorname{End}G$.
Citation:
A. V. Grishin, A. V. Tsarev, “$\mathcal E$-closed groups and modules”, Fundam. Prikl. Mat., 17:2 (2012), 97–106; J. Math. Sci., 186:4 (2012), 592–598
Linking options:
https://www.mathnet.ru/eng/fpm1403 https://www.mathnet.ru/eng/fpm/v17/i2/p97
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Statistics & downloads: |
Abstract page: | 472 | Full-text PDF : | 180 | References: | 62 | First page: | 2 |
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