Zobrazeno 1 - 10
of 2 743
pro vyhledávání: '"zero-divisor"'
Autor:
Nasir Ali, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran Qureshi, Manal Elzain Mohamed Abdalla, N. S. Abd EL-Gawaad, Fikadu Tesgera Tolasa
Publikováno v:
International Journal of Computational Intelligence Systems, Vol 17, Iss 1, Pp 1-10 (2024)
Abstract In this paper, we introduce the concept of fuzzy zero divisor graph (FZDG) for a commutative ring $$R$$ R denoted by $${\Gamma }_{f}\left(\text{R}\right)$$ Γ f R . We explore the multiset dimension (Mdim), a new variant of the metric dimens
Externí odkaz:
https://doaj.org/article/387e4b1b7601480eb54fc15488c064a6
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 580-590 (2024)
Let [Formula: see text] and [Formula: see text] be a partial transformation semigroup on [Formula: see text] Obviously, the empty set [Formula: see text] is a zero element of [Formula: see text] and denoted by 0. Let [Formula: see text] An element [F
Externí odkaz:
https://doaj.org/article/2f5c0a06dd8146479abd08a0bfa1e0a8
Autor:
Nilesh Khandekar, Vinayak Joshi
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 3, Pp 238-248 (2024)
In this paper, we determine when the zero-divisor graph of a special class of a finite pseudocomplemented poset is Eulerian. Also, we deal with Hamiltonian, vertex pancyclic, and edge pancyclic properties of the complement of a zero-divisor graph of
Externí odkaz:
https://doaj.org/article/fdb819c35dbb4b1898aa19d7f2717380
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 3, Pp 302-309 (2024)
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integ
Externí odkaz:
https://doaj.org/article/73f42b2bf66e4bd18889a67e51e8ceb5
Autor:
Fareeha Jamal, Muhammad Imran
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23979-23996 (2024)
In the present article, we give the distance spectrum of the zero divisor graphs of the commutative rings $ \mathbb{Z}_{t}[x]/\langle x^{4} \rangle $ ($ t $ is any prime), $ \mathbb{Z}_{t^2}[x] / \langle x^2 \rangle $ ($ t \geq 3 $ is any prime) and
Externí odkaz:
https://doaj.org/article/56c445e83786469eab43149b5fc88fed
Autor:
Masreshaw Walle Abate, Wang Yao
Publikováno v:
Surveys in Mathematics and its Applications, Vol 19 (2024), Pp 109-126 (2024)
For an involution near ring 𝒩 and its ideal ℐ, the text introduces an involution ideal-based zero- divisor graph Γℐ*(𝒩) which is an undirected graph with vertex set { x ∈ 𝒩 - ℐ: x𝒩y ⊂ ℐ (or y𝒩x ⊂ ℑ ) for some y ∈
Externí odkaz:
https://doaj.org/article/c4a4abb3c218445e9f7fb1b1b158e38c
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 2, Pp 143-151 (2024)
In this paper, we prove that the study of the comaximal graph of a finite commutative ring with identity is the same as the study of the zero-divisor graph of the specially constructed lattice. Also, we introduce the blow-up of a Boolean lattice usin
Externí odkaz:
https://doaj.org/article/3e1a890475374118952224b69559b4d5