Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the genus of the annhilator graph of a commutative ring
Репозиторій DSpace/Manakin
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Chelvam, T.T. | |
| dc.contributor.author | Selvakumar, K. | |
| dc.date.accessioned | 2019-06-18T18:18:04Z | |
| dc.date.available | 2019-06-18T18:18:04Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | 2010 MSC:05C99, 05C15, 13A99. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/156637 | |
| dc.description.abstract | 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 | uk_UA |
| dc.description.sponsorship | This work was supported by the UGC-BSR One-time grant and UGC Major Research Project (F. No. 42-8/2013(SR)) of University Grants Commission, Government of India through first and second authors respectively. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | On the genus of the annhilator graph of a commutative ring | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
