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.
Partitioning Ideals of a Semiring R and its Skew Group Semiring R * G
By : Madhu, Richa Sharma
Page No: 47-56
Abstract
Let G be a finite group acting on a semiring R and R G its skew group semiring. Then the quotient semiring RQ(I) is isomorphic to , for each g ? G. Further, if I is a G–invariant, Q–ideal of R, then I G is a Q G – ideal of R G. Assume that R is additively cancellative, then RQ(I) is additively cancellative (see [6]) and hence (RQ(I)) ? exists which is isomorphic to , where Q is an additive subgroupoid of R. In this case, ((R G)Q G(I G))? ? ((R? G)Q ? G(I ? G)).
Authors :
Richa Sharma : Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
Madhu : Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India.
DOI: https://doi.org/10.32381/JCISS.2018.43.1-4.3