Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
Relationships between a Semiring R and Quotient Semiring RQ(I)
By : Ram Parkash Sharma, Richa Sharma, Madhu
Page No: 227-234
Abstract The main aim of this paper is to investigate relationships between the ideals of semirings R and RQ(I), where RQ(I) is the quotient semiring and I is the partitioning ideal of R. It is shown that if R is additively cancellative and yoked, then RQ(I) is additively cancellative and yoked. If R is additively cancellative, then RQ(I) is isomorphic to R/?I (R/?I is the factor semiring factored by Bourne relation induced by partitioning ideal I) and (RQ(I))? (the ring of dfferences of (RQ(I))?), is isomorphic to R?/I? .
Authors :
Ram Parkash Sharma, Madhu and Richa Sharma : Department of Mathematics and Statistics Himachal Pradesh University Shimla 171005, India.