Groups associated with modules over nearrings
We construct a group D(I, T) associated with the
 pair (I, T), where I is a nontrivial distributive submodule of a left
 N-module G, T is a nontrivial subgroup of the unit group U(N) of
 a right nearring N with an identity element, and find criteria for
 D(I, T) to be...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157341 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634825105539072 |
|---|---|
| author | Artemovych, O.D. Kravets, I.V. |
| author_facet | Artemovych, O.D. Kravets, I.V. |
| citation_txt | Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We construct a group D(I, T) associated with the
pair (I, T), where I is a nontrivial distributive submodule of a left
N-module G, T is a nontrivial subgroup of the unit group U(N) of
a right nearring N with an identity element, and find criteria for
D(I, T) to be a Frobenius group.
We construct a group D(I, T) associated with the
pair (I, T), where I is a nontrivial distributive submodule of a left
N-module G, T is a nontrivial subgroup of the unit group U(N) of
a right nearring N with an identity element, and find criteria for
D(I, T) to be a Frobenius group.
|
| first_indexed | 2025-11-30T16:38:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157341 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T16:38:51Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Artemovych, O.D. Kravets, I.V. 2019-06-20T02:41:32Z 2019-06-20T02:41:32Z 2007 Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/157341 We construct a group D(I, T) associated with the
 pair (I, T), where I is a nontrivial distributive submodule of a left
 N-module G, T is a nontrivial subgroup of the unit group U(N) of
 a right nearring N with an identity element, and find criteria for
 D(I, T) to be a Frobenius group.
 We construct a group D(I, T) associated with the
 pair (I, T), where I is a nontrivial distributive submodule of a left
 N-module G, T is a nontrivial subgroup of the unit group U(N) of
 a right nearring N with an identity element, and find criteria for
 D(I, T) to be a Frobenius group. Dedicated to V.I. Sushchansky on the occasion of his 60th birthday en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups associated with modules over nearrings Article published earlier |
| spellingShingle | Groups associated with modules over nearrings Artemovych, O.D. Kravets, I.V. |
| title | Groups associated with modules over nearrings |
| title_full | Groups associated with modules over nearrings |
| title_fullStr | Groups associated with modules over nearrings |
| title_full_unstemmed | Groups associated with modules over nearrings |
| title_short | Groups associated with modules over nearrings |
| title_sort | groups associated with modules over nearrings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157341 |
| work_keys_str_mv | AT artemovychod groupsassociatedwithmodulesovernearrings AT kravetsiv groupsassociatedwithmodulesovernearrings |