Results 131 to 140 of about 1,616,014 (220)

Dominant Metric Dimension of Unit Graphs of Finite Commutative Rings

Journal of Mathematics
Let R be a finite commutative ring with identity and let UR denote its unit group. The unit graph GUR is the simple graph on the vertex set R in which distinct vertices x,y are adjacent if and only if x+y∈UR.
Eman S. Almotairi
doaj   +1 more source

Strong Resolving Graphs of U-Clean Graphs of Finite Commutative Rings

Journal of Mathematics
Let R be a finite commutative ring with identity 1. The U-clean graph U-ClR of a ring R is a simple undirected graph with vertices are of the form e,u, where e is a nonzero idempotent and u is a unit of R, and two distinct vertices e,u, f,v of U-ClR are ...
Ziyi Wu, Xiaobin Yin
doaj   +1 more source

Studies on the number theory of orders [PDF]

, 1982
Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
core  

Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings

Axioms
In recent years, the intersection of algebraic structures and graph-theoretic concepts has developed significant interest, particularly through the study of zero-divisor graphs derived from commutative rings.
Omaima Alshanquiti, Malkesh Singh, Vijay Kumar Bhat   +2 more
doaj   +1 more source

Extended total graph associated to finite commutative rings

Ukrains’kyi Matematychnyi Zhurnal
UDC 512.5 For a commutative ring R   with nonzero identity 1 ≠ 0 , let Z ( R ) denote the set of zero divisors. The total graph of R denoted by T Γ ( R ) is a simple graph in which all elements of R are vertices and any two distinct vertices x and y are adjacent if and only if x ...
Altaf, Aaqib, Pirzada, S., Alghamdi, Ahmad M., Almotairi, Eman S.   +3 more
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On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +1 more source

Eigenvalues of the product matrices of finite commutative rings

Linear and Multilinear Algebra
The product matrix of a finite commutative ring $R=\{x_1,x_2,\ldots,x_n\}$ and an element $u \in R$ is the matrix $A_u(R)=[a_{ij}]$, where $a_{ij}=1$ if $x_ix_j=u$, and $a_{ij}=0$ otherwise. This provides a natural extension of the concept of the adjacency matrix of the zero-divisor graph of a ring, which has been studied extensively. In this paper, we
openaire   +4 more sources

CAKR: commutative algebra k-mer representations for genomics. [PDF]

Nat Commun
Suwayyid F, Hozumi Y, Zia M, Wee J, Feng H, Wei GW.   +5 more
europepmc   +1 more source

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source