Results 31 to 40 of about 7,874 (214)
Directed zero-divisor graph and skew power series rings [PDF]
Transactions on Combinatorics, 2018 Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors. Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings. The directed zero-divisor graph of $R$
Ebrahim Hashemi +2 more
doaj +1 more source
Quotient Energy of Zero Divisor Graphs And Identity Graphs
مجلة بغداد للعلوم, 2023 Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph make up the graph's quotient energy.
M. Lalitha Kumari +2 more
doaj +1 more source
Electronic Notes in Discrete Mathematics, 2017 Abstract Let R be a finite commutative ring with unity ( 1 ≠ 0 ) and let Z ( R ) ⁎ be the set of non-zero zero-divisors of R. We associate a (simple) graph Γ ( R ) to R with vertices as elements of R and for distinct x , y ∈ R , the vertices x and y are adjacent if and only if xy = 0.
Deepa Sinha +2 more
openaire +1 more source
Upper dimension and bases of zero-divisor graphs of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2020 For a commutative ring with non-zero zero divisor set , the zero divisor graph of is with vertex set , where two distinct vertices and are adjacent if and only if .
S. Pirzada, M. Aijaz, S.P. Redmond
doaj +1 more source
On the eigenvalues of zero-divisor graph associated to finite commutative ring
AKCE International Journal of Graphs and Combinatorics, 2021 Let Z(R) be the set of zero-divisors of a commutative ring R with non-zero identity and be the set of non-zero zero-divisors of R. The zero-divisor graph of R, denoted by is a simple graph whose vertex set is and two vertices are adjacent if and only if ...
S. Pirzada +2 more
doaj +1 more source
Enhancing Preclinical Rigor: Evaluating Robustness and Numerical Stability in a Chronic Pancreatitis Mouse Model. [PDF]
Ann N Y Acad SciIn a modified cerulein‐induced chronic pancreatitis (CP) mouse model, key hallmarks of CP were robustly induced in male and female C57BL/6J (BL6) and BALB/c mice, whereas cytokine responses varied partly according to strain and sex. The RORγt inhibitor GSK805 reduced Il23r expression in the BL6 strain, significantly decreased collagen I deposition and ...
Thämlitz A +5 more
europepmc +2 more sources
The n-zero-divisor graph of a commutative semigroup
, 2022 Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct vertices x and y are adjacent ...
Badawi, Ayman, Anderson, David F.
core +1 more source
Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avinash Patil +2 more
openaire +2 more sources
The Graph of Equivalence Classes of Zero Divisors [PDF]
ISRN Discrete Mathematics, 2014 We introduce a graph GE(L) of equivalence classes of zero divisors of a meet semilattice L with 0. The set of vertices of GE(L) are the equivalence classes of nonzero zero divisors of L and two vertices [x] and [y] are adjacent if and only if [x]∧[y]=[0]. It is proved that GE(L) is connected and either it contains a cycle of length 3 or GE(L)≅K2. It is
Vinayak Joshi +2 more
openaire +2 more sources
On bipartite zero-divisor graphs
Discrete Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dancheng Lu, Tongsuo Wu
openaire +1 more source