In: Mathematica Slovaca, vol. 67, no. 1
Rajab Ali Borzooei - Mona Aaly Kologani - Omid Zahiri
Details:
Year, pages: 2017, 1 - 16
Keywords:
Hoop algebra, state $\sqcup$-hoop, state hoop, state-morphism
About article:
In this paper, we define the notions of a state $\sqcup$-hoop and a state-morphism $\sqcup$-hoop extending the language of hoop by adding a unary operator and investigate some properties of them. Also, we extend state $\sqcup$-hoop to state hoop and study the relation between state hoops and state BL-algebras, MV-algebras and BCK-algebras.
How to cite:
ISO 690:
Borzooei, R., Kologani, M., Zahiri, O. 2017. State hoops. In Mathematica Slovaca, vol. 67, no.1, pp. 1-16. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0242
APA:
Borzooei, R., Kologani, M., Zahiri, O. (2017). State hoops. Mathematica Slovaca, 67(1), 1-16. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0242
About edition:
Published: 1. 2. 2017