Product of ideals in hoops

• Published in: Soft computing (Berlin, Germany) Vol. 27; no. 17; pp. 11961 - 11971
• Main Authors: Borzooei, R. A., Kologani, M. Aaly, Ahn, S. S.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2023; Springer Nature B.V
• Subjects: Algebra; Algebraic; Analytical Methods in Soft Computing; Artificial Intelligence; Computational Intelligence; Control; Engineering; Foundation; Hoops; Mathematical Logic and Foundations; Mathematicians; Mechatronics; Robotics; Prime ideal; Hoop; Product of ideals; Maximal ideal; Nilpotent ideal

In this paper, first by using ideals in hoops we define a new congruence relation on hoops and we make a new quotient structure. Then, we introduce the concept of product ideal in hoops and investigate some properties of it and study some results about prime and maximal ideals and product of them. B...