TY - JOUR
T1 - CONGRUENCES IN SEMINEARRINGS AND THEIR CORRESPONDENCE WITH STRONG IDEALS
AU - Koppula, Kavitha
AU - Kedukodi, Babushri Srinivas
AU - Kuncham, Syam Prasad
N1 - Publisher Copyright:
© 2024 Yazd University.
PY - 2024/11
Y1 - 2024/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85212090134&partnerID=8YFLogxK
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U2 - 10.22034/as.2024.3353
DO - 10.22034/as.2024.3353
M3 - Article
AN - SCOPUS:85212090134
SN - 2423-3447
VL - 11
SP - 255
EP - 272
JO - Algebraic Structures and their Applications
JF - Algebraic Structures and their Applications
IS - 4
ER -