Abelian groups as artinian or noetherian modules above endomorphism rings
Электронный архив ТПУ
Информация об архиве | Просмотр оригиналаПоле | Значение | |
Заглавие |
Abelian groups as artinian or noetherian modules above endomorphism rings
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Автор |
Krylov, P. A.
Podberesina, E. I. |
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Тематика |
Abellian groups
Artinian modules Noetherian modules endomorphism homomorphism torsion quasi-cyclic group divisible group Neter ring separable Abele groups |
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Описание |
The A and B Abellian groups, such that the Hom(A, B) homomorphism group is the Artin module over the ring of the B group endomorphism, are described. Description of the A and B group for which the Hom(A,B) group is the Artin module over the ring of the A group endomorphism is reduced to the case when the A group has no torsion and the B group is either a quasi-cyclic group or a divisible group without torsion. The A and B Abellian groups for which the Hom(A,B) group is the Neter module over the E(A) or E(B) ring are characterized. The research of arbitrary Abellian group with the link Neter ring of endomorphisms is reduced to the research of the group without torsion with the link Neter ring of endomorphisms. The research of the right Neter ring of endomorphisms remained uncompleted. The separable Abele groups without torsion with the link and right Neter rings of endomorphisms are described.
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Дата |
2015-11-20T02:36:51Z
2015-11-20T02:36:51Z 2006 |
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Тип |
Article
Published version (info:eu-repo/semantics/publishedVersion) Journal article (info:eu-repo/semantics/article) |
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Идентификатор |
Krylov P. A. Abelian groups as artinian or noetherian modules above endomorphism rings / P. A. Krylov, E. I. Podberesina // Bulletin of the Tomsk Polytechnic University. — 2006. — Vol. 309, № 4. — [P. 4-8].
http://earchive.tpu.ru/handle/11683/181 |
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Язык |
en
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Связанные ресурсы |
Bulletin of the Tomsk Polytechnic University. 2006. Vol. 309, № 4
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Права |
Open access (info:eu-repo/semantics/openAccess)
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Формат |
application/pdf
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Издатель |
Томский политехнический университет
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Источник |
Bulletin of the Tomsk Polytechnic University
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