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On properties of n-totally projective Abelian p-groups

On properties of n-totally projective Abelian p-groups

We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they...

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Main Authors: Danchev, P., Keef, P.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Український математичний журнал
Subjects:
Статті
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164413
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spelling irk-123456789-1644132020-02-23T20:43:53Z On properties of n-totally projective Abelian p-groups Danchev, P. Keef, P. Статті We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they have isometric p^n-socles Доведено деякi властивостi n-тотально проекцiйних абелевих p-груп. При деяких додаткових умовах на будову груп встановлено еквiвалентнiсть понять n-тотальної проективностi та сильної n-тотальної проективностi. Також показано, що n-тотально проективнi A-групи iзоморфнi, якщо вони мають iзометричнi p^n-цоколi. 2012 Article On properties of n-totally projective Abelian p-groups / P. Danchev, P. Keef // Український математичний журнал. — 2012. — Т. 64, № 6. — С. 766-771. — Бібліогр.: 9 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164413 512.5 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Danchev, P.
Keef, P.
On properties of n-totally projective Abelian p-groups
Український математичний журнал
description We prove some properties of n-totally projective Abelian p-groups. Under certain additional conditions for the group structure, we obtain an equivalence between the notions of n-total projectivity and strong n-total projectivity. We also show that n-totally projective A-groups are isomorphic if they have isometric p^n-socles
format Article
author Danchev, P.
Keef, P.
author_facet Danchev, P.
Keef, P.
author_sort Danchev, P.
title On properties of n-totally projective Abelian p-groups
title_short On properties of n-totally projective Abelian p-groups
title_full On properties of n-totally projective Abelian p-groups
title_fullStr On properties of n-totally projective Abelian p-groups
title_full_unstemmed On properties of n-totally projective Abelian p-groups
title_sort on properties of n-totally projective abelian p-groups
publisher Інститут математики НАН України
publishDate 2012
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/164413
citation_txt On properties of n-totally projective Abelian p-groups / P. Danchev, P. Keef // Український математичний журнал. — 2012. — Т. 64, № 6. — С. 766-771. — Бібліогр.: 9 назв. — англ.
series Український математичний журнал
work_keys_str_mv AT danchevp onpropertiesofntotallyprojectiveabelianpgroups
AT keefp onpropertiesofntotallyprojectiveabelianpgroups
first_indexed 2023-10-18T22:13:34Z
last_indexed 2023-10-18T22:13:34Z
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