Congruences in seminearrings and their correspondence with strong ideals

Document Type : Research Paper

Authors

Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India.

Abstract

In this paper, we define the notion of strong ideal of a seminearring S. If S is a nearring or a ring then the concept of a strong ideal of S coincides with the usual ideal of S. We show that there is one-one correspondence between strong ideals of S and strong congruences on S. Using the concept of strong ideals, we prove classical isomorphism theorems on S. We study insertion of factors property and obtain basic results on equisemiprime ideals.

Keywords

References

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Algebraic Structures and Their Applications
Volume 11, Issue 4
November 2024
Pages 255-272

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