ON PRIME STRONG IDEALS OF A SEMINEARRING

Authors

  • K. Koppula Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka 576104, India Author
  • B.S. Kedukodi Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka 576104, India Author
  • S.P. Kuncham Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka 576104, India Author

Keywords:

Seminearring, strong ideal, radical

Subjects:

16Y30, 16Y60

Abstract

The concepts of prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring $S$ and study the corresponding prime radicals. In particular, we prove that $P_e=S\mid P_e(S)=S $ is a Kurosh-Amitsur radical class where $P_{e}(S)$ denotes the intersection of equiprime strong ideals of $S$.

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Published

2020-07-15

Issue

Vol. 72 No. 3 (2020): Vol. 72, Issue 3

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.