CONGRUENCES IN SEMINEARRINGS AND THEIR CORRESPONDENCE WITH STRONG IDEALS.

Autor: KOPPULA, KAVITHA, KEDUKODI, BABUSHRI SRINIVAS, KUNCHAM, SYAM PRASAD
Zdroj: Algebraic Structures & their Applications; Nov2024, Vol. 11 Issue 4, p255-272, 18p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index