Finite Rings with Acyclic Zero-Divisor Graphs

被引:0
作者
Monastyre, Anna S. [1 ]
机构
[1] Altai State Univ, 61 Lenina St, Barnaul 656049, Russia
来源
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2024年 / 21卷 / 01期
关键词
associative ring; fnite ring; zero-divisor graph; compressed zero-divisor graph; LOCAL-RINGS;
D O I
10.33048/semi.2024.21.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe all associative Inite rings that have acyclic compressed zero-divisor graphs.
引用
收藏
页码:405 / 416
页数:12
相关论文
共 50 条
[21]   On Nilpotent Finite Alternative Rings with Planar Zero-Divisor Graphs [J].
Kuzmina, A. S. .
ALGEBRA COLLOQUIUM, 2016, 23 (04) :657-661
[22]   ON COMPRESSED ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE LOCAL RINGS [J].
Zhuravlev, E., V ;
Filina, O. A. .
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02) :1531-1555
[23]   ON THE CENTER OF ZERO-DIVISOR AND IDEAL-DIVISOR GRAPHS OF FINITE COMMUTATIVE RINGS [J].
Bloome, Lane ;
Peck, Hailee .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (05)
[24]   Finite Non-Nilpotent Rings with Complete Compressed Zero-Divisor Graphs [J].
Monastyreva, A. S. .
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (09) :1666-1671
[25]   On Finite Rings in Which Zero-Divisor Graphs Satisfy the Dirac's Condition [J].
Kuzmina, A. S. ;
Maltsev, Yu. N. .
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2015, 36 (04) :375-383
[26]   Compressed and Partially Compressed Zero-Divisor Graphs of Finite Associative Rings [J].
A. A. Afanas’ev ;
A. S. Monastyreva .
Siberian Mathematical Journal, 2023, 64 :291-299
[27]   Compressed zero-divisor graphs of matrix rings over finite fields [J].
Duric, Alen ;
Jevdenic, Sara ;
Stopar, Nik .
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (11) :2012-2039
[28]   On Domination of Zero-divisor Graphs of Matrix Rings [J].
Jafari, Sayyed Heidar ;
Rad, Nader Jafari .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (02) :271-275
[29]   Some Graph Parameters of the Zero-divisor Graphs of Finite Commutative Rings [J].
Movahedi, F. ;
Akhbari, M. H. .
JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (03)
[30]   Categorial properties of compressed zero-divisor graphs of finite commutative rings [J].
Duric, Alen ;
Jevdenic, Sara ;
Stopar, Nik .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (05)