On the genus of the annhilator graph of a commutative ring
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the genus of the annhilator graph of a commutative ring
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| Creator |
Chelvam, T.T.
Selvakumar, K. |
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| 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
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| Date |
2019-06-18T18:18:04Z
2019-06-18T18:18:04Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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