Product of ideals in hoops

Product of ideals in hoops

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...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2023-09, Vol.27 (17), p.11961-11971
Hauptverfasser: Borzooei, R. A., Kologani, M. Aaly, Ahn, S. S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic
Analytical Methods in Soft Computing
Artificial Intelligence
Computational Intelligence
Control
Engineering
Foundation
Hoops
Mathematical Logic and Foundations
Mathematicians
Mechatronics
Robotics
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Zusammenfassung: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. By using these notions, we define the concept of nilpotent ideal on hoops and we provide a condition for intersection of all maximal ideals to be nilpotent.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-023-08807-4