Various spectra and energies of commuting graphs of finite rings
WNT Fasfous, R Nath, R Sharafdini - Hacettepe Journal of …, 2020 - dergipark.org.tr
The commuting graph of a non-commutative ring $ R $ with center $ Z (R) $ is a simple
undirected graph whose vertex set is $ R\setminus Z (R) $ and two vertices $ x, y $ are …
undirected graph whose vertex set is $ R\setminus Z (R) $ and two vertices $ x, y $ are …
Characterization and commuting probability of n-centralizer finite rings
Let R be a finite ring. The commuting probability of R is the probability that any two randomly
chosen elements of R commute. A ring R is called an n-centralizer ring if it has n distinct …
chosen elements of R commute. A ring R is called an n-centralizer ring if it has n distinct …
On generalized non-commuting graph of a finite ring
Let S and K be two subrings of a finite ring R. Then the generalized non-commuting graph of
subrings S, K of R, denoted by Г S, K, is a simple graph whose vertex set is (S∪ K)\(CK (S)∪ …
subrings S, K of R, denoted by Г S, K, is a simple graph whose vertex set is (S∪ K)\(CK (S)∪ …
Spectrum and genus of commuting graphs of some classes of finite rings
J Dutta, RK Nath - arXiv preprint arXiv:1604.02865, 2016 - arxiv.org
The commuting graph of a non-commutative ring $ R $ with center $ Z (R) $ is a simple
undirected graph whose vertex set is $ R\setminus Z (R) $ and two vertices $ x, y $ are …
undirected graph whose vertex set is $ R\setminus Z (R) $ and two vertices $ x, y $ are …
The probability of zero multiplication in finite rings
D DOLŽAN - Bulletin of the Australian Mathematical Society, 2022 - cambridge.org
Let R be a finite ring and let denote the nullity degree of R, that is, the probability that the
multiplication of two randomly chosen elements of R is zero. We establish the nullity degree …
multiplication of two randomly chosen elements of R is zero. We establish the nullity degree …
A generalization of commuting probability of finite rings
The aim of this paper is to study the probability that the commutator of an arbitrarily chosen
pair of elements, each from two different additive subgroups of a finite non-commutative ring …
pair of elements, each from two different additive subgroups of a finite non-commutative ring …
Non-Braid Graphs of Ring Zn
ES Cahyati, ADC Bp, IE Wijayanti - JTAM (Jurnal Teori dan …, 2022 - journal.ummat.ac.id
The research in graph theory has been widened by combining it with ring. In this paper, we
introduce the definition of a non-braid graph of a ring. The non-braid graph of a ring R …
introduce the definition of a non-braid graph of a ring. The non-braid graph of a ring R …
Satisfiability degrees for BCK-algebras
CM Evans - arXiv preprint arXiv:2209.13704, 2022 - arxiv.org
We investigate the satisfiability degree of some equations in finite BCK-algebras; that is,
given a finite BCK-algebra and an equation in the language of BCK-algebras, what is the …
given a finite BCK-algebra and an equation in the language of BCK-algebras, what is the …
On relative commuting probability of finite rings
arXiv:1708.05142v1 [math.RA] 17 Aug 2017 Page 1 arXiv:1708.05142v1 [math.RA] 17 Aug
2017 On relative commuting probability of finite rings Parama Dutta and Rajat Kanti Nath∗ …
2017 On relative commuting probability of finite rings Parama Dutta and Rajat Kanti Nath∗ …
On the probability and graph of some finite rings of matrices
The study on probability theory in finite rings has been an interest of various researchers.
One of the probabilities that has caught their attention is the probability that two elements of …
One of the probabilities that has caught their attention is the probability that two elements of …