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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 108–119
(Mi smj1269)
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This article is cited in 13 scientific papers (total in 13 papers)
Hereditary endomorphism rings of mixed Abelian groups
P. A. Krylov Tomsk State University
Abstract:
Let $A$ be a finite-rank, torsion-free, self-small mixed abelian $sp$-group and let $E(A)$ be the endomorphism ring of $A$. We give conditions for right and left heredity of $E(A)$. A ring is right hereditary if each of its right ideals is projective. We also find the structure of one-sided ideals of $E(A)$.
Received: 28.02.2001
Citation:
P. A. Krylov, “Hereditary endomorphism rings of mixed Abelian groups”, Sibirsk. Mat. Zh., 43:1 (2002), 108–119; Siberian Math. J., 43:1 (2002), 83–91
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https://www.mathnet.ru/eng/smj1269 https://www.mathnet.ru/eng/smj/v43/i1/p108
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