On ideal theory of hoops

In this paper, we define and characterize the notions of (implicative, maximal, prime) ideals in hoops. Then we investigate the relation between them and prove that every maximal implicative ideal of a $\vee$-hoop with double negation property is a prime one. Also, we define a congruence relation on...

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Bibliographic Details
Main Authors: Mona Aaly Kologani, Rajab Ali Borzooei
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2020-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/145/2/mb145_2_3.pdf