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pro vyhledávání: '"Alaoui, Brahim El"'
Autor:
Alaoui, Brahim El, L'hamri, Raja
Let $R$ be a commutative ring and $I$ be an ideal of $R$. The amalgamated duplication of $R$ along $I$ is the subring $R\Join I:=\{(r,r+i)| r\in R, i\in I\}$ of $R\times R$. This paper investigates the extended zero-divisor graph of the amalgamated d
Externí odkaz:
http://arxiv.org/abs/2407.03022
Autor:
Bennis, Driss, Alaoui, Brahim El
For a commutative ring $R$ with identity, the zero-divisor graph of $R$, denoted $\Gamma(R)$, is the graph whose vertices are the non-zero zero divisors of $R$ with two distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$. In this paper,
Externí odkaz:
http://arxiv.org/abs/2305.12942
Let $R$ be a commutative ring with identity $1\neq 0$. In this paper, we continue the study started in [10] concerning when the extended zero-divisor graph of $R$, $\overline{\Gamma}(R)$, is complemented. We also study when $\overline{\Gamma}(R)$ is
Externí odkaz:
http://arxiv.org/abs/2305.10280
The global defensive $k$-alliance is a very well studied notion in graph theory, it provides a method of classification of graphs based on relations between members of a particular set of vertices. In this paper we explore this notion in zero-divisor
Externí odkaz:
http://arxiv.org/abs/2107.08418
Publikováno v:
Journal of Algebra & Its Applications; May2024, Vol. 23 Issue 6, p1-16, 16p
Publikováno v:
Journal of Algebra & Its Applications; Jun2023, Vol. 22 Issue 6, p1-22, 22p