Group seminearrings

Volume 24, Issue 4, pp 338--344 http://dx.doi.org/10.22436/jmcs.024.04.06

Publication Date: April 19, 2021 Submission Date: February 14, 2021 Revision Date: March 10, 2021 Accteptance Date: March 18, 2021

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Authors

Waheed Ahmad Khan - University of Education, Lahore, Attock Campus, Pakistan. Waqar Arif - CIIT Islamabad, Attock campus, Pakistan. Abdelghani Taouti - ETS-Maths and NS Engineering Division, HCT University, P. O. Box 7947, Sharjah, United Arab Emirates.

Abstract

In this note, we introduce and discuss the notion of group seminearrings along with few of its characteristics. Firstly, we provide the method of construction of group seminearrings. Then, we introduce different types of ideals of group seminearrings. Finally, we introduce and discuss the group seminearrings homomorphism and amalgamation maps.

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Keywords

• Group seminearrings
• ideals
• homomorphism

MSC

•  47A15
•  46A32
•  47D20

References

• [1] A. Y. M. Chin, K. T. Qua, Primary group rings, Rend. Semin. Mat. Univ. Padova, 137 (2017), 223--228
  • View Article
  • MathSciNet


• [2] J. M. Cohen, Zero divisors in group ring, Comm. Algebra, 2 (1974), 1--14
  • View Article
  • MathSciNet


• [3] D. Cox, Units in Group Rings, Lakehead University, Thunder Bay, Ontario (2016)
  • View Article


• [4] D. S. Dummit, R. M. Foote, Abstract Algebra, third edition, John Wiley & Sons, Hoboken (2004)
  • Google Scholar


• [5] R. L. Fray, On Ideals in Group Near-rings, Acta Math. Hungar., 74 (1997), 155--165
  • View Article
  • MathSciNet


• [6] N. J. Groenewald, S. Juglal, J. H. Meyer, Prime ideals in group near-rings, Algebra Colloq., 15 (2008), 501--510
  • View Article
  • MathSciNet


• [7] S. Inam, R. Ali, A new ElGamal-like cryptosystem based on matrices over groupring, Neural Comput. Appl., 29 (2018), 1279--1283
  • View Article
  • Google Scholar


• [8] E. Jespers, Structure of group rings and the group of units of integral group rings: an invitation, arXiv preprint, 2020 (2020), 39 pages
  • View Article
  • Google Scholar


• [9] W. B. V. Kandasamy, Smarandache semirings, semifields and semivector spaces, American Research Press, Rehoboth (2002)
  • View Article
  • MathSciNet


• [10] L. R. Le Riche, J. D. P. Meldrum, A. P. J. van der Walt, On Group Near-rings, Arch. Math., 52 (1989), 132--139
  • View Article
  • MathSciNet


• [11] J. D. P. Meldrum, J. H. Meyer, The augmentation ideal in group near-rings, Monatsh. Math., 156 (2009), 313--323
  • View Article
  • MathSciNet