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періодичних видань НАН України
періодичних видань НАН України
On the genus of the annhilator graph of a commutative ring
Репозиторій DSpace/Manakin
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On the genus of the annhilator graph of a commutative ring
Інший ID:
2010 MSC:05C99, 05C15, 13A99.
Посилання:
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.
Підтримка:
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.
Дата:
2017
Переглядів:
461
Завантажень:
180
Анотація:
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
