• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2021, Volume: 14, Issue: 35, Pages: 2802-2805

Original Article

Direct Product of GK Algebra

Received Date:13 July 2021, Accepted Date:25 September 2021, Published Date:31 October 2021

Abstract

Objectives: To find the direct product of an algebraic structure namely as GK algebra. Methods/Findings: We derive some important results in which direct product of two GK algebra is again GK algebra as a particular case and also, derive the general case of the same then after investigate the direct product of kernel of GK algebra.

Keywords: Direct Product; Kernel; isomorphism; Homomorphism; GK algebra

References

  1. Imai Y, Iséki K. On axiom systems of propositional calculi, XIV. Proceedings of the Japan Academy, Series A, Mathematical Sciences. 1966;42(1):19–22. Available from: https://dx.doi.org/10.3792/pja/1195522169
  2. Walendziak A. On BF-algebras. Mathematica Slovaca. 2007;57(2):119–128. Available from: https://dx.doi.org/10.2478/s12175-007-0003-x
  3. Kim CB, Kim HS. On BG-algebras. Demonstratio Mathematica. 2008;41(3). doi: 10.1515/dema-2013-0098
  4. Meng BL, Ci-Algebras. CI-algebras. Scientiae Mathematicae Japonicae. 2009;p. 695–701. Available from: https://www.jams.jp/scm/contents/e-2009-8/2009-72.pdf
  5. Widianto S, Gemawati S, Kartini. Direct product in BG-algebras. International Journal of Algebra. 2019;13(5):239–247. doi: 10.12988/ija.2019.9619
  6. Teves RC, Endam JC. Direct product of BF-algebras. International Journal of Algebra. 2016;10:125–132. Available from: https://dx.doi.org/10.12988/ija.2016.614
  7. Setiani A, Gemawati S, Deswita L. Direct Product of BP-Algebra. International Journal of Mathematics Trends and Technology. 2020;66(10):63–69. Available from: https://dx.doi.org/10.14445/22315373/ijmtt-v66i10p510
  8. Gowri R, Kavitha J. The Structure of GK Algebras. International Journal for Research in Applied Science and Engineering Technology. 2018;6(4):1208–1212. Available from: https://www.ijraset.com/fileserve.php?FID=15330

Copyright

© 2021 Kavitha & Gowdi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)

DON'T MISS OUT!

Subscribe now for latest articles and news.