POWER CHAINS IN A DIVISOR GRAPH
Journal Title: IMPACT : International Journal of Research in Humanities, Arts and Literature ( IMPACT : IJRHAL ) - Year 2019, Vol 7, Issue 4
Abstract
The divisor graph of an associative ring R (denoted as DG(R)) was introduced by Satyanarayana, Srinivasulu.[9]. In this paper, we introduce a simple concept “Power Chain in a Divisor Graph” .We prove that if is nilpotent, then the power chain starting with a is of finite length. If DG(R) (the divisor graph of R) contains a power chain starting with which is of infinite length, then , a is non–idempotent and non–nilpotent element. We announce some basic results. Finally, we deduce that if R be an integral domain and a , then if and only if the power chain starting with a (in DG(R)) is of infinite length.
Authors and Affiliations
SATYANARAYANA BHAVANARI, SRINIVASULU DEVANABOINA, Mallikarjuna Bhavanari, Abul Basar
Keywords
Related Articles
- EP ID EP563624
- DOI -
- Views 119
- Downloads 0
Understanding the Relevance of K-Yan in Government Schools from Teachers Perspective
Technology has now become an integral part of educational practices. The present study is an effort to understand the relevance of K-Yan in the teaching-learning process at government schools of West Bengal. The author c...
A Study on Factors Influencing Purchase Decision For Online Shopping Among Consumers
Online shopping is witnessing a considerable momentum during the recent years because of its exclusive advantages for both retailers and consumers, namely shopping at 24 hours, reducing dependency on physical visits to r...
GENDER AND DIASPORA: A COMPARISON BETWEEN THE WOMEN CHARACTERS OF KAMALA MARKANDAYA, ANITA DESAI AND BHARATI MUKHERJEE
One of the crucial aspects of diasporic writing is its gender factor. The development of an approach that aims to project “and interpret experience, from the point of feminine consciousness and sensibility” is quite noti...
THE STRATEGY OF INTEGRATION: BISMARCK VIS-À-VIS VALLABHBHAI
Vallabhbhai Patel in India is very often compared with Bismarck of Germany because of his role in the integration of India. At the outset, it seems that the leaders made similar efforts to create a strong nation-state. B...
IS DEMOGRAPHIC DETERMINANTS AFFECT QUALITY OF WORK LIFE (QWL) IN HIGHER EDUCATION INSTITUTE (HEI) TEACHERS
The objective of the present paper is to examine Quality of Work Life (QWL) as a determinant of demographic variables among HEI teachers. This research is a Descriptive survey in nature. The sample of 449 HEI teachers fr...