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...
Main Authors: | , |
---|---|
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 |