Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Jutirekha Dutta"'
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica. 23:5-12
We consider commuting graphs of some classes of finite rings and compute their spectrum and genus. We show that the commuting graph of a finite CC-ring is integral. We also characterize some finite rings whose commuting graphs are planar.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3aa726ab49e2c8513e778505006ca793
https://doi.org/10.12697/acutm.2019.23.01
https://doi.org/10.12697/acutm.2019.23.01
Publikováno v:
Tamkang Journal of Mathematics. 53
In this paper, we compute the number of distinct centralizers of some classes of finite rings. We then characterize all finite rings with $n$ distinct centralizers for any positive integer $n \le 5$. Further we give some connections between the numbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d18992e0bd10a9a2d3ed4ebda00055e6
https://doi.org/10.5556/j.tkjm.53.2022.3370
https://doi.org/10.5556/j.tkjm.53.2022.3370
Autor:
Jutirekha Dutta
Publikováno v:
Kyungpook mathematical journal. 56:121-123
In this paper, we compute the number of distinct centralizers and commu-tativity degree of a class of flnite groups. These computations produce a further class ofexamples of groups answering one question raised by Belcastro and Sherman and anotheron
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e80aad436456785c196a14bad4e9f5b2
https://doi.org/10.5666/kmj.2016.56.1.121
https://doi.org/10.5666/kmj.2016.56.1.121
Autor:
Jutirekha Dutta, Dhiren Kumar Basnet
Let $R$ be a finite ring. The commuting probability of $R$ is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain some bounds for commuting probability of $R$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e2ac7871b0ea10a28e8acecedf22dd3
http://arxiv.org/abs/1702.01885
http://arxiv.org/abs/1702.01885
Let $S, K$ be two subrings of a finite ring $R$. Then the generalized non-commuting graph of subrings $S, K$ of $R$, denoted by $\Gamma_{S, K}$, is a simple graph whose vertex set is $(S \cup K) \setminus (C_K(S) \cup C_S(K))$ and two distinct vertic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8d515d435b74a9410f28adc90d6f478
The commuting probability of a finite ring R , denoted by Pr ( R ) , is the probability that any two randomly chosen elements of R commute. In this paper, we obtain several bounds for Pr ( R ) through a generalization of Pr ( R ) . Further, we define
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb5552a1dc8ad958292264d101927f66
http://arxiv.org/abs/1510.08211
http://arxiv.org/abs/1510.08211
Autor:
Rajat Kanti Nath, Jutirekha Dutta
Publikováno v:
MATEMATIKA. 33:87
In this paper, we initiate the study of spectrum of the commuting graphs of finite non-abelian groups. We first compute the spectrum of this graph for several classes of finite groups, in particular AC-groups. We show that the commuting graphs of fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2162b5b81c854d873103bd803a5fd52
https://doi.org/10.11113/matematika.v33.n1.812
https://doi.org/10.11113/matematika.v33.n1.812
Autor:
Jutirekha Dutta
Publikováno v:
Chinese Journal of Mathematics. 2013:1-2
A finite or infinite group is called an n-centralizer group if it has n numbers of distinct centralizers. In this paper, we prove that a finite or infinite group G is a 4-centralizer group if and only if G/Z(G) is isomorphic to C2×C2. This extends a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a93236d3fe70fb10c0bdd9ebbc27b98f
https://doi.org/10.1155/2013/871072
https://doi.org/10.1155/2013/871072