On the genus of the annhilator graph of a commutative ring
Let R be a commutative ring and Z(R)* be its set of non-zero zero-divisors. The annihilator graph of a commutative ring R is the simple undirected graph AG(R) with vertices Z(R)*, and two distinct vertices x and y are adjacent if and only if ann(xy)≠ann(x)∪ann(y). The notion of annihilator graph has...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156637 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the genus of the annhilator graph of a commutative ring / T.T. Chelvam, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 191-208. — Бібліогр.: 26 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1566372019-06-19T01:27:05Z On the genus of the annhilator graph of a commutative ring Chelvam, T.T. Selvakumar, K. Let R be a commutative ring and Z(R)* be its set of non-zero zero-divisors. The annihilator graph of a commutative ring R is the simple undirected graph AG(R) with vertices Z(R)*, and two distinct vertices x and y are adjacent if and only if ann(xy)≠ann(x)∪ann(y). The notion of annihilator graph has been introduced and studied by A. Badawi [7]. In this paper, we determine isomorphism classes of finite commutative rings with identity whose AG(R) has genus less or equal to one 2017 Article On the genus of the annhilator graph of a commutative ring / T.T. Chelvam, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 191-208. — Бібліогр.: 26 назв. — англ. 1726-3255 2010 MSC:05C99, 05C15, 13A99. http://dspace.nbuv.gov.ua/handle/123456789/156637 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let R be a commutative ring and Z(R)* be its set of non-zero zero-divisors. The annihilator graph of a commutative ring R is the simple undirected graph AG(R) with vertices Z(R)*, and two distinct vertices x and y are adjacent if and only if ann(xy)≠ann(x)∪ann(y). The notion of annihilator graph has been introduced and studied by A. Badawi [7]. In this paper, we determine isomorphism classes of finite commutative rings with identity whose AG(R) has genus less or equal to one |
| format |
Article |
| author |
Chelvam, T.T. Selvakumar, K. |
| spellingShingle |
Chelvam, T.T. Selvakumar, K. On the genus of the annhilator graph of a commutative ring Algebra and Discrete Mathematics |
| author_facet |
Chelvam, T.T. Selvakumar, K. |
| author_sort |
Chelvam, T.T. |
| title |
On the genus of the annhilator graph of a commutative ring |
| title_short |
On the genus of the annhilator graph of a commutative ring |
| title_full |
On the genus of the annhilator graph of a commutative ring |
| title_fullStr |
On the genus of the annhilator graph of a commutative ring |
| title_full_unstemmed |
On the genus of the annhilator graph of a commutative ring |
| title_sort |
on the genus of the annhilator graph of a commutative ring |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156637 |
| citation_txt |
On the genus of the annhilator graph of a commutative ring / T.T. Chelvam, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 191-208. — Бібліогр.: 26 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT chelvamtt onthegenusoftheannhilatorgraphofacommutativering AT selvakumark onthegenusoftheannhilatorgraphofacommutativering |
| first_indexed |
2023-05-20T17:50:08Z |
| last_indexed |
2023-05-20T17:50:08Z |
| _version_ |
1796154202522648576 |